V.E. Tarasov
"Fractional
Dynamics: Application of Fractional Calculus to Dynamics of
Particles, Fields and Media"
(Springer, HEP, 2011) 504
pages. See:
Springer and Ozon
(ISBN: 978-3-642-14002-0) Read
Online
V.E. Tarasov
"Gravity,
Black Holes and Relativistic Mechanics"
(Vuzovskaya
kniga, Moscow, 2015) 206 pages [in Russian] (ISBN:
978-5-9502-0618-4)
V.E. Tarasov
"Theoretical
Physics Models with Integro-Differentiation of Fractional Order"
(IKI, RCD, 2011) 568 pages. See:
ozon.ru (ISBN: 978-5-4344-013-8) in Russian
V.E. Tarasov
"Quantum
Mechanics of Non-Hamiltonian and Dissipative Systems"
(Elsevier Science, 2008) 540 pages. See:
Elsevier and Amazon
,
(ISBN-13: 978-0-444-53091-2 ISBN-10: 0-444-53091-65-7035-2390-7)
Read
Online
V.E. Tarasov
"Quantum
Mechanics: Lectures on Foundations of the Theory"
(Vuzovskaya
kniga, Moscow, 2000) 326 pages. (ISBN: 5-89522-107-6) in Russian
DJVU
Second
Edition: Vuzovskaya kniga, Moscow, 2005. (ISBN: 5-9502016-5-5)
in Russian
V.E. Tarasov
"Mathematical Introduction to Quantum
Mechanics"
(MAI Publishing Co., Moscow, 2000) 332
pages.
(ISBN: 5-7035-2390-7) in Russian in
Editorial URSS
V.V. Tarasova, V.E. Tarasov,
"
Continuum Mechanics of Fractal Media" Chapter in {\it Encyclopedia of Continuum Mechanics}."
Edited by H. Altenbach, A. Ochsner. Berlin, Heidelberg: Springer, 2018. pp. 1-8.
ISBN: 978-3-662-53605-6 DOI: 10.1007/978-3-662-53605-6_69-1
V.V. Tarasova, V.E. Tarasov,
"
Fractional deterministic factor analysis of economic processes with memory and nonlocality. "
Chapter 9. in {\it Chaotic, Fractional, and Complex Dynamics: New Insights and Perspectives}.
Edited by M. Edelman, E. Macau, M.A.F. Sanjuan.
New York: Springer International Publishing AG, 2018. pp. 173-189.
DOI: 10.1007/978-3-319-68109-2_9
V.E. Tarasov,
"
Discretely and continuously distributed dynamical systems with fractional nonlocality. "
In: {\it Fractional Dynamics} Edited by C. Cattani, H.M. Srivastava, X.-J. Yang.
(De Gruyter Open, Warsaw, Berlin, 2015) Chapter 3. pp.s 31-49.
DOI (Chapter): 10.1515/9783110472097-003
V.E. Tarasov,
"
Fractional Dynamics of Open Quantum Systems"
Chapter 19 (pages 447-480) in the book "Fractional Dynamics in Physics: Recent Advances"
J. Klafter, S.C. Lim, R. Metzler (Eds.) (World Scientific, Singapore, 2012)
(ISBN: 978-981-4304-58-8) HTML
V.E. Tarasov,
"Fractional
Zaslavsky and Henon map"
Chapter 1 (pages 1-26) in
the book "Long-range Interactions, Stochasticity and Fractional Dynamics"
A.C.J. Luo, V. Afraimovich (Eds.) (Springer and HEP, 2010) 275p.
HTML.
(arXiv:1107.5148)
V.E. Tarasov,
"Quantum Mechanics"
Chapter 2 (pages 60-124) in the book "Quantum Physics"
Edited by G.G. Spirin (Aviaizdat, Moscow, 2002). 346 pages. in Russian
V.V. Tarasova, V.E. Tarasov,
Dynamic intersectoral models with power-law memory.
Communications in Nonlinear Science and Numerical Simulation. 2018. Vol. 54. P. 100-117.
DOI: 10.1016/j.cnsns.2017.05.015 (arXiv:1712.09087)
V.V. Tarasova, V.E. Tarasov,
Concept of dynamic memory in economics.
Communications in Nonlinear Science and Numerical Simulation. 2018. Vol.55. P.127-145.
DOI: 10.1016/j.cnsns.2017.06.032 (arXiv:1712.09088)
V.E. Tarasov,
Fractional mechanics of elastic solids: Continuum aspects.
Journal of Engineering Mechanics. Vol.143. No.5. (2017) Article ID: D4016001. 8 pages.
DOI: 10.1061/(ASCE)EM.1943-7889.0001074.
V.V. Tarasova, V.E. Tarasov,
Exact discretization of fractional Laplacian.
Computers and Mathematics with Applications. 2017. Vol.73. No.5. P.855-863.
DOI: 10.1016/j.camwa.2017.01.012
V.E. Tarasov, V.V. Tarasova,
Time-dependent fractional dynamics with memory in quantum and economic physics.
Annals of Physics. 2017. Vol. 383. P. 579-599. DOI: 10.1016/j.aop.2017.05.017
V.E. Tarasov,
Interpretation of fractional derivatives as reconstruction from sequence of integer derivatives.
Fundamenta Informaticae. Vol. 151. (2017) P.431-442. DOI: 10.3233/FI-2017-1502
V.V. Tarasova, V.E. Tarasov,
Logistic map with memory from economic model.
Chaos, Solitons and Fractals. 2017. Vol. 95. P.84-91.
DOI: 10.1016/j.chaos.2016.12.012 (arXiv:1712.09092)
V.V. Tarasova, V.E. Tarasov,
Accelerators in macroeconomics: Comparison of discrete and continuous approaches.
American Journal of Economics and Business Administration.
2017. Vol. 9. No. 3. P. 47-55.
DOI: 10.3844/ajebasp.2017.47.55 (arXiv:1712.09605)
V.V. Tarasova, V.E. Tarasov,
Exact discretization of economic accelerator and multiplier with memory.
Fractal and Fractional. 2017. Vol. 1. No. 1. Article ID: 6.
DOI: 10.3390/fractalfract1010006
V.E. Tarasov,
Accelerator and multiplier for macroeconomic processes with memory.
IRA-International Journal of Management and Social Sciences. 2017. Vol. 9. No. 3. P. 86-125.
DOI: 10.21013/jmss.v9.v3.p1
V.E. Tarasov,
Exact solution of T-difference radial Schrodinger equation.
International Journal of Applied and Computational Mathematics.
2017. Vol. 3. No. 4. P. 2779-2784. DOI: 10.1007/s40819-016-0270-8
https://link.springer.com/article/10.1007/s40819-016-0270-8
V.E. Tarasov,
Discrete wave equation with infinite differences.
Applied Mathematics and Information Sciences Letters. 2017. Vol.5. No.2. P.41-44.
DOI: 10.18576/amisl/050201
V.V. Tarasova, V.E. Tarasov,
Economic growth model with constant pace and dynamic memory.
Problems of Modern Science and Education. 2017. No.2 (84). P.40-45.
>DOI: 10.20861/2304-2338-2017-84-001 (arXiv:1701.06299)
V.V. Tarasova, V.E. Tarasov,
Economic interpretation of fractional derivatives.
Progress in Fractional Differentiation and Applications.
2017. Vol.3. No.1. P.1-7. DOI: 10.18576/pfda/030101
V.V. Tarasova, V.E. Tarasov,
Comments on the article Long and short memory in economics: fractional-order difference and differentiation.
Problems of Modern Science and Education [Problemy Sovremennoj Nauki i Obrazovaniya].
2017. No.31 (113). P.26-28.
DOI: 10.20861/2304-2338-2017-113-002
V.V. Tarasova, V.E. Tarasov,
Logistic map with memory from economic model.
Chaos, Solitons and Fractals. 2017. Vol. 95. P.84-91.
DOI: 10.1016/j.chaos.2016.12.012
V.E. Tarasov
Interpretation of fractional derivatives as
reconstruction from sequence of integer derivatives.
Fundamenta Informaticae. 2017. Vol.151. P.431-442.
PDF
V.V.Tarasova, V.E. Tarasov
>
Economic interpretation of fractional derivatives.
Progress in Fractional Differentiation and Applications. 2017. Vol.3. No.1. P.1-7.
PDF
V.V.Tarasova, V.E. Tarasov
Logistic map with memory from economic model.
Chaos, Soliton and Frcatls. Vol.95. (2017) 84-91.
PDF
V.E. Tarasov
Exact discretization of fractional Laplacian.
Computer and Mathematics with Applications. 2017. Vol.73. No.5. P.855-863.
PDF
V.E. Tarasov,
Exact discretization of Schrodinger equation.
Physics Letters A. Vol.380. No.1-2. (2016) 68-75.
DOI: 10.1016/j.physleta.2015.10.039
V.E. Tarasov,
Exact discretization by Fourier transforms.
Communications in Nonlinear Science and Numerical Simulation. Vol.37. (2016) 31-61.
DOI: 10.1016/j.cnsns.2016.01.006
V.E. Tarasov,
United lattice fractional integro-differentiation.
Fractional Calculus and Applied Analysis. Vol.19. No.3. (2016) 625-664.
DOI: 10.1515/fca-2016-0034
V.E. Tarasov,
Exact discrete analogs of canonical commutation and uncertainty relations.
Mathematics. Vol.4. No.3. (2016) Article ID 44.
DOI: 10.3390/math4030044
V.E. Tarasov,
What discrete model corresponds exactly to gradient elasticity equation?
Journal of Mechanics of Materials and Structures. Vol. 11. No. 4. (2016) 329-343
DOI: 10.2140/jomms.2016.11.329 <
V.E. Tarasov,
Some identities with generalized hypergeometric functions.
Applied Mathematics and Information Sciences. Vol.10. No.5. (2016) 1729-1734.
DOI: 10.18576/amis/100511
V.E. Tarasov,
Geometric interpretation of fractional-order derivative.
Fractional Calculus and Applied Analysis. Vol.19. No.5. (2016) 1200-1221.
DOI: 10.1515/fca-2016-0062
V.E. Tarasov,
"
Electric field in media with power-law spatial dispersion.
Modern Physics Letters B. Vol.30. No.10. (2016) Article ID: 1650132 (11 pages)
DOI: 10.1142/S0217984916501323
V.V. Tarasova, V.E. Tarasov,
"
Partial fractional derivatives of Riesz type and nonlinear fractional differential equations.
Nonlinear Dynamics. Vol.86. (2016) No.3. 1745-1759.
DOI: 10.1007/s11071-016-2991-y
V.E. Tarasov,
Discrete model of dislocations in fractional nonlocal elasticity.
Journal of King Saud University - Science. Vol.28. No.1. (2016) 33-36.
DOI 10.1016/j.jksus.2015.04.001
V.E. Tarasov,
Three-dimensional lattice models with long-range interactions of
Grunwald-Letnikov type for fractional generalization of gradient elasticity.
Meccanica. Vol.51. No.1. (2016) 125-138. DOI: 10.1007/s11012-015-0190-4
V.V. Tarasova, V.E. Tarasov,
Elasticity for economic processes with memory: fractional differential calculus approach.
Fractional Differential Calculus. 2016. Vol.6. No.2.
P.219-232.DOI: 10.7153/fdc-06-14
V.V. Tarasova, V.E. Tarasov,
Economic accelerator with memory: discrete time approach.
Problems of Modern Science and Education. 2016. No. 36 (78). P. 37-42.
DOI: 10.20861/2304-2338-2016-78-002 (arXiv:1612.07913)
V.E. Tarasov, V.V. Tarasova,
Long and short memory in economics: fractional-order difference and differentiation.
IRA-International Journal of Management and Social Sciences. 2016. Vol.5. No.2. P.327-334.
DOI: 10.21013/jmss.v5.n2.p10 (arXiv:1612.07913)
V.V. Tarasova, V.E. Tarasov,
" Fractional dynamics of natural growth and memory effect in economics",
European Research. 2016. No. 12 (23). P. 30-37.
DOI: 10.20861/2410-2873-2016-23-004 (arXiv:1612.09060)
V.E. Tarasov
"
Local fractional derivatives of differentiable
functions are integer-order derivatives or zero",
International Journal of Applied and Computational Mathematics.
Vol.2. No.2. (2016) 195-201. DOI: 10.1007/s40819-015-0054-6
V.E. Tarasov
On chain rule for fractional derivatives.
Communications in Nonlinear Science and Numerical Simulation.
Vol.30. No.1-3. (2016) 1-4. DOI: 10.1016/j.cnsns.2015.06.007
V.E. Tarasov
" Leibniz rule and fractional derivatives of power functions",
Journal of Computational and Nonlinear Dynamics. Vol.11. No.3. (2016) 031014. DOI: 10.1115/1.4031364
V.E. Tarasov
"Remark to history of fractional derivatives on
complex plane: Sonine-Letnikov and Nishimoto derivatives",
Fractional Differential Calculus. Vol.6. No.1. (2016) 147-149. >DOI: 10.7153/fdc-06-10
V.E. Tarasov
"Heat transfer in fractal materials",
International Journal of Heat and Mass Transfer.
Vol.93. (2016) 427-430. DOI: 10.1016/j.ijheatmasstransfer.2015.09.086
V.E. Tarasov
"Acoustic waves in fractal media: non-integer dimensional spaces approach",
Wave Motion. Vol.63. (2016) 18-22. DOI: 10.1016/j.wavemoti.2016.01.003
V.E. Tarasov
"Poiseuille equation for steady flow of fractal fluid",
International Journal of Modern Physics B. Vol.30. No.22. (2016) 1650128. (13 pages)
DOI: 10.1142/S0217979216501289
V.E. Tarasov
"Exact discretization of Schroedinger equation",
Physics Letters A. Vol.380. No.1-2. (2016) 68-75.
HTML
PDF
V.E. Tarasov
"Exact
discretization by Fouries transforms",
Communications
in Nonlinear Science and Numerical Simulation. Vol.37. (2016) 31-61.
HTML
V.E. Tarasov
"Geometric
interpretation of fractional-order derivative",
Fractional
Calculus and Applied Analysis. Vol.19. No.5. (2016) 120012214. HTML
V.E. Tarasov
"United
lattice fractional integro-differentiation",
Fractional
Calculus and Applied Analysis. Vol.19. No.3. (2016) 625-664. HTML
V.E. Tarasov
"On
chain rule for fractional derivatives",
Communications
in Nonlinear Science and Numerical Simulation. Vol.30. No.1-3.
(2016) 1-4. HTML
PDF
V.E. Tarasov
"What
discrete model corresponds exactly to a gradient elasticity
equations?",
Journal of Mechanics of Materials and
Structures. Vol.11. No.4. (2016) 329-343. HTML
PDF
V.E. Tarasov
"Leibniz
rule and fractional derivatives of power functions",
Journal
of Computational and Nonlinear Dynamics. Vol.11. No.3. (2016)
0310144. (4 pages) PDF
V.E. Tarasov
"Three-dimensional
lattice models with long-range interactions of Grunwald-Letnikov
type for fractional generalization of gradient
elasticity",
Meccanica. Vol.51. No.1. (2016)
125-138. HTML
PDF
V.E. Tarasov
"Partial
fractional derivatives of Riesz type and nonlinearity fractional
differential equations",
Nonlinear Dynamics.
Vol.86. (2016) 1745-1759. doi: 10.1007/s11071-016-2991-y HTML
PDF
V.V. Tarasova, V.E. Tarasov
"Elasticity for economic processes with memory:
fractional differential calculus approach",
Fractional
Differential Calculus. Vol.6. No.2. (2016) 219-232. HTML
V.E. Tarasov, V.V.Tarasova
"Long
and short memory in economics: fractional-order difference and
differentiation",
IRA-International Journal of
Managment and Social Sciences. Vol.5. No.2. (2016) 327-334. PDF
V.V. Tarasova, V.E. Tarasov
"Price Elasticity of Demand with Memory" [in
Russian],
Economics, Sociology and Law. Vol.2016.
No.4-1. (2016) 98-106. HTML
HTML
V.E. Tarasov
"Remark
to history of fractional derivatives on complex plane:
Sonine-Letnikov and Nishimoto derivatives",
Fractional
Differential Calculus. Vol.6. No.1. (2016) 147-149. HTML
V.E. Tarasov
"Poiseuille
equation for steady flow of fractal fluid",
Internationsl
Journal of Modern Physics B. Vol.30. No.22. (2016) 1650128 (13
pages). HTML
PDF
V.E. Tarasov
"Electric
field in media with power-law spatial dispersion",
Modern
Physics Letters B. Vol.30. No.10. (2016) 1650132 (11 pages). HTML
PDF
V.E. Tarasov
"Discrete
models of dislocations in fractional nonlocal elasticity",
Journal
of King Saud University - Science. Vol.28. No.1. (2016) 33-36. HTML
PDF
V.E. Tarasov
"Heat
transfer in fractal materials",
International
Journal of Heat and Mass Transfer. Vol.93. (2016) 427-430. HTML
PDF
V.E. Tarasov
"Acoustic
waves in fractal media: non-integer dimensional spaces
approach",
Wave Motion. Vol.63. (2016) 18-220. HTML
PDF
V.E. Tarasov
"Local fractional derivatives of
differentiable functions are integer-order derivatives or
zero",
International Journal of Applied and
Computational Mathematics. Vol.2. No.2. (2016) 195-201. HTML
PDF
V.E. Tarasov
"Lattice
fractional calculus",
Applied Mathematics and
Computation. Vol.257. (2015) 12-33. HTML
PDF
V.E. Tarasov
"Exact
discrete analogs of derivatives of integer orders: Differences as
infinite series"
Journal of Mathematics. Vol.2015.
(2015) Article ID 134842. (8 pages) HTML
PDF
V.E. Tarasov
"Fractal
electrodynamics via non-integer dimensional space approach",
Physics
Letters A. Vol.379. No.36. (2015) 2055-2061. HTML
PDF
V.E. Tarasov
"Electromagnetic
waves in non-integer dimensional spaces and fractals",
Chaos,
Solitons and Fractals. Vol.81. Part A. (2015) 38-42. HTML
PDF
V.E. Tarasov
"Comments
on 'The Minkowski's space-time is consistent with differential
geometry of fractional order",
Physics Letters A.
Vol.379. No.14-15. (2015) 1071-1072. HTML
PDF
V.E. Tarasov
"Comments
on 'Riemann-Christoffel tensor in differential geometry of
fractional order application to fractal space-time",
Fractals.
Vol.21. No.2. (2015) 1575001. HTML
PDF
V.E. Tarasov
"Non-linear
fractional field equations: weak non-linearity at power-law
non-locality",
Nonlinear Dynamics. Vol.80. No.4.
(2015) 1665-1672. HTML
PDF
V.E. Tarasov
"Fractional
Liouville equation on lattice phase-space",
Physica
A: Statistical Mechanics and its Applications. Vol.421. (2015)
330-342. HTML
PDF
(arXiv:1503.04351)
V.E. Tarasov
"Vector
calculus in non-integer dimensional space and its applications to
fractal media",
Communications in Nonlinear Science
and Numerical Simulation. Vol.20. No.2. (2015) 360-374. HTML
PDF
(arXiv:1503.02022)
V.E. Tarasov
"Elasticity
of fractal materials by continuum model with non-integer dimensional
space",
Comptes Rendus Mechanique. Vol.343. No.1.
(2015) 57-73. HTML
PDF
(arXiv:1503.03060)
V.E. Tarasov
"Fractional-order
difference equations for physical lattices and some
applications",
Journal of Mathematical Physics.
Vol.56. No.10. (2015) 1035068. HTML
PDF
V.E. Tarasov
"Three-dimensional
lattice approach to fractional generalization of continuum gradient
elasticity",
Progress in Fractional Differentiation
and Applications. Vol.1. No.4. (2015) 243-258. HTML
PDF
V.E. Tarasov, E.C. Aifantis,
"Non-standard extensions of gradient elasticity:
Fractional non-locality, memory and fractality",
Communications
in Nonlinear Science and Numerical Simulation. Vol.22. No.1-3.
(2015) 197-227. HTML
PDF
(arXiv:1404.5241)
V.E. Tarasov
"Lattice model with
nearest-neighbor and next-nearest-neighbor intearctions of gradient
elasticity",
Discontinuity, Nonlinearity, and
Complexity. Vol.4. No.1. (2015) 11-23. PDF
(arXiv:1503.03633)
V.E. Tarasov
"Fractional
quantum fields theory: from lattice to continuum",
Advances
in High Energy Physics. Vol.2014. (2014) 957863. (14 pages) HTML
PDF
V.E. Tarasov
"Toward
lattice fractional vector calculus",
Journal of
Physics A. Vol.47. No.35. (2014) 355204. (51 pages) HTML
PDF
V.E. Tarasov
"Anisotropic
fractal media by vector calculus in non-integer dimensional
space",
Journal of Mathematical Physics. Vol.55.
No.8. (2014) 083510. HTML
PDF
(arXiv:1503.02392)
V.E. Tarasov
"Flow
of fractal fluid in pipe: Non-integer dimensional space
approach",
Chaos, Solitons and Fractals. Vol.67.
(2014) 26-37. HTML
PDF
(arXiv:1503.02842)
V.E. Tarasov
"Fractional-order
variational derivative",
International Journal of
Applied Mathematics. Vol.27. No.5. (2014) 491-518. HTML
PDF
(arXiv:1502.07677)
V.E. Tarasov
"Large
lattice fractional Fokker-Planck equation",
Journal
of Statistical Mechanics. Vol.2014. No.9. (2014) P09036. (26 pages)
HTML
PDF
(arXiv:1503.03636)
V.E. Tarasov
"Fractional
diffusion equations for lattice and continuum: Grunwald-Letnikov
differences and derivatives approach",
International
Journal of Statistical Mechanics. Vol.2014. (2014) 873529. (7 pages)
HTML
PDF
(arXiv:1503.03201)
V.E. Tarasov
"Lattice
with long-range interaction of power-law type for fractional
non-local elasticity"
International Journal of
Solids and Structures. Vol.51. No.15-16. (2014) pp.2900-2907. HTML
PDF
(arXiv:1502.05492)
V.E. Tarasov
"Lattice
model of fractional and gradient elasticity: Long-range interaction
of Grunwald-Letnikov-Riesz type"
Mechanics of
Materials. Vol.70. No.1. (2014) 106-114. HTML
PDF
(arXiv:1502.06268)
V.E. Tarasov
"General
lattice model of gradient elasticity"
Modern
Physics Letters B. Vol.28. No.7. (2014) 1450054. (17 pages) HTML
PDF
(arXiv:1501.01435)
V.E. Tarasov, E.C. Aifantis
"Towards fractional gradient elasticity"
Journal
of Mechanical Behavior of Materials. Vol.23. No.1-2. (2014) 41-46.
HTML
PDF
(arXiv:1307.6999)
V.E. Tarasov
"Fractional gradient elasticity
from spatial dispersion law"
ISRN Condensed Matter
Physics. Vol.2014. (2014) 794097. (13 pages) HTML
PDF
(arXiv:1306.2572)
V.E. Tarasov
"Uncertainty
relation for non-Hamiltonian quantum systems"
Journal
of Mathematical Physics. Vol.54. No.1. (2013) 012112. (13 pages)
HTML
PDF
V.E. Tarasov
"Review
of some promising fractional physical models"
International
Journal of Modern Physics B. Vol.27. No.9. (2013) 1330005. (32
pages) HTML
PDF
(arXiv:1502.07681)
V.E. Tarasov
"Fractional
diffusion equations for open quantum systems"
Nonlinear
Dynamics. Vol.71. No.4. (2013) 663-670. HTML
PDF
V.E. Tarasov
"No
violation of the Leibniz rule. No fractional
derivative."
Communications in Nonlinear Science
and Numerical Simulation. Vol.18. No.11. (2013) 2945-2948. HTML
PDF
(arXiv:1402.7161)
V.E. Tarasov
"Power-law
spatial dispersion from fractional Liouville equation"
Physics
of Plasmas. Vol.20. No.10. (2013) 102110. (10 pages) HTML
PDF
(arXiv:1307.4930)
V.E. Tarasov
"Lattice
model with power-law spatial dispersion for fractional
elasticity"
Central European Journal of Physics.
Vol.11. No.11. (2013) 1580-1588. (10 pages) HTML
PDF
(arXiv:1501.01201)
V.E. Tarasov, J.J. Trujillo
"Fractional power-law spatial dispersion in
electrodynamics"
Annals of Physics. Vol.334. (2013)
1-23. HTML
PDF
(arXiv:1503.04349)
Y. Zhou, V.E. Tarasov, J.J. Trujillo, R. Garrappa
"Editorial" European Physical Journal: Special
Topics. Vol.222. No.8. (2013) 1745-1748. HTML
V.E. Tarasov
"Quantum
dissipation from power-law memory"
Annals of
Physics. Vol.327. No.6. (2012) 1719-1729. PDF
V.E. Tarasov
"The
fractional oscillator as an open system"
Central
European Journal of Physics. Vol.10. No.2. (2012) 382-389. PDF
V.E. Tarasov
"Derivation
of uncertainty relation for quantum Hamiltonian systems" [in
Russian]
Moskovskoe Nauchnoe Obozrenie. Vol.2011. No.10.
(2011) 3-6. HTML
PDF
V.E. Tarasov
"New
methods of measurement of fractal dimension of solids" [in
Russian]
Nauchnaya Perespektiva. Vol.2011. No.10. (2011)
77-79. PDF
V.E. Tarasov
"Relativistic
non-Hamiltonian mechanics"
Annals of Physics.
Vol.325. No.10. (2010) 2103-2119. PDF
V.E. Tarasov
"Fractional
dynamics of relativistic particle"
International
Journal of Theoretical Physics. Vol.49. No.2. (2010) 293-303.
PDF
(arXiv:1107.5749)
V.E. Tarasov, M. Edelman
"Fractional dissipative standard map"
Chaos.
Vol.20. No.2. (2010) 023127. (7 pages) PDF
(arXiv:1107.5464)
V.E. Tarasov
"Quantum
Nanotechnology"
International Journal of
Nanoscience. Vol.8. No.4-5. (2009) 337-344. PDF
V.E. Tarasov
"Differential
equations with fractional derivative and universal map with
memory"
Journal of Physics A. Vol.42. No.46. (2009)
465102. (13 pages) PDF
(arXiv:1107.4205)
M. Edelman, V.E. Tarasov
"Fractional standard map"
Physics
Letters A. Vol.374. No.2. (2009) 279-285. PDF
(arXiv:0909.5412)
V.E. Tarasov
"Discrete
map with memory from fractional differential equation of arbitrary
positive order"
Journal of Mathematical Physics.
Vol.50. No.12. (2009) 122703. (6 pages) PDF
(arXiv:1107.4425)
V.E. Tarasov
"Fractional
generalization of the quantum Markovian master equation"
Theoretical
and Mathematical Physics. Vol.158. No.2. (2009) 179-195.
PDF
(Teoreticheskaya
i Matematicheskaya Fizika. Vol.158. No.2. (2009) 214-233. in
Russian) PDF
(arXiv:0909.0965)
V.E. Tarasov
"Fractional
integro-differential equations for electromagnetic waves in
dielectric media"
Theoretical and Mathematical
Physics. Vol.158. No.3. (2009) 355-359. PDF
(Teoreticheskaya
i Matematicheskaya Fizika. Vol.158. No.3. (2009) 419-424. in
Russian) PDF
(arXiv:1107.5892)
V.E. Tarasov
"Weyl
quantization of fractional derivatives"
Journal of
Mathematical Physics. Vol.49. No.10. (2008) 102112. (6 pages) PDF
(arXiv:0907.2699)
V.E. Tarasov
"Fractional
Heisenberg equation"
Physics Letters A. Vol.372.
No.17. (2008) 2984-2988. PDF
(arXiv:0804.0586)
V.E. Tarasov
"Fractional
vector calculus and fractional Maxwell's equations"
Annals
of Physics. Vol.323. No.11. (2008) 2756-2778. PDF
(arXiv:0907.2363)
V.E. Tarasov
"Universal
electromagnetic waves in dielectrics"
Journal of
Physics: Condensed Matter. Vol.20. No.17. (2008) 175223. (7 pages)
PDF
(arXiv:0907.2163)
V.E. Tarasov
"Fractional
equations of Curie-von Schweidler and Gauss laws"
Journal
of Physics: Condensed Matter. Vol.20. No.14. (2008) 145212. (5
pages) PDF
(arXiv:0907.1837)
V.E. Tarasov
"Fractional
powers of derivatives in classical mechanics"
Communications
in Applied Analysis. Vol.12. No.4. (2008) 441-450.
PDF
(arXiv:1107.5682)
V.E. Tarasov, G.M. Zaslavsky
"Fractional equations of kicked systems and discrete
maps"
Journal of Physics A. Vol.41. No.43. (2008)
435101. (16 pages) PDF
(arXiv:1107.3953)
V.E. Tarasov, G.M. Zaslavsky
"Fokker-Planck equation with fractional coordinate
derivatives"
Physica A. Vol.387. No.26. (2008)
6505-6512. PDF
(arXiv:0805.0606)
V.E. Tarasov
"Chains
with fractal dispersion law"
Journal of Physics A.
Vol.41. No.3. (2008) 035101. (6 pages) PDF
(arXiv:0804.0607)
V.E. Tarasov, G.M. Zaslavsky
"Fractional generalization of Kac
integral"
Communications in Nonlinear Science and
Numerical Simulation. Vol.13. No.2. (2008) 248-258. PDF
(arXiv:0704.1771)
V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of systems with long-range
space interaction and temporal memory"
Physica A.
Vol.383. No.2. (2007) 291-308. PDF
(math-ph/0702065)
V.E. Tarasov
"Fractional
Chapman-Kolmogorov equation"
Modern Physics
Letters B. Vol.21. No.4. (2007) 163-174. PDF
(arXiv:0710.0809)
V.E. Tarasov
"Liouville
and Bogoliubov equations with fractional derivatives"
Modern
Physics Letters B. Vol.21. No.5. (2007) 237-248. PDF
(arXiv:0711.0859)
V.E. Tarasov
"Fractional
derivative as fractional power of derivative"
International
Journal of Mathematics. Vol.18. No.3. (2007) 281-299. PDF
(arXiv:0711.2567)
V.E. Tarasov, G.M. Zaslavsky
"Conservation laws and Hamiltonian's equations for
systems with long-range interaction and memory"
Communications
in Nonlinear Science and Numerical Simulation. Vol.13. No.9. (2008)
1860-1878. PDF
(math-ph/0703048)
V.E. Tarasov
"Fokker-Planck
equation for fractional systems"
International
Journal of Modern Physics B. Vol.21. N.6. (2007) 955-967. PDF
(arXiv:0710.2053)
G.M. Zaslavsky, M. Edelman, V.E.
Tarasov
"Dynamics of the chain of oscillators with
long-range interaction: from synchronization to chaos"
Chaos.
Vol.17. No.4. (2007) 043124. (10 pages) PDF
(arXiv:0707.3941)
N. Korabel, G.M. Zaslavsky, V.E.
Tarasov
"Coupled oscillators with power-law
interaction and their fractional dynamics analogues"
Communications in Nonlinear Science and Numerical
Simulation. Vol.12. No.8. (2007) 1405-1417. PDF
(math-ph/0603074)
V.E. Tarasov
"Map
of discrete system into continuous"
Journal of
Mathematical Physics. Vol.47. No.9. (2006) 092901. (24 pages) PDF
(arXiv:0711.2612)
V.E. Tarasov
"Fractional
statistical mechanics"
Chaos. Vol.16. No.3. (2006)
033108. (7 pages) PDF
(arXiv:0710.1807)
V.E. Tarasov
"Electromagnetic
fields on fractals"
Modern Physics Letters A.
Vol.21. No.20. (2006) 1587-1600. PDF
(arXiv:0711.1783)
V.E. Tarasov
"Continuous
limit of discrete systems with long-range interaction"
Journal
of Physics A. Vol.39. No.48. (2006) 14895-14910. PDF
(arXiv:0711.0826)
V.E. Tarasov
"Fractional
variations for dynamical systems: Hamilton and Lagrange approaches"
Journal of Physics A. Vol.39. No.26. (2006) 8409-8425.
PDF
(math-ph/0606048)
V.E. Tarasov
"Psi-series
solution of fractional Ginzburg-Landau equation"
Journal
of Physics A. Vol.39. No.26. (2006) 8395-8407. PDF
(nlin.SI/0606070)
V.E. Tarasov
"Magnetohydrodynamics of fractal media"
Physics of Plasmas. Vol.13. No.5. (2006) 052107. (12
pages) PDF
(arXiv:0711.0305)
V.E. Tarasov, G.M. Zaslavsky
"Nonholonomic constraints with fractional
derivatives"
Journal of Physics A. Vol.39. No.31.
(2006) 9797-9815. PDF
(math-ph/0603067)
V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of systems with long-range
interaction"
Communications in Nonlinear Science
and Numerical Simulation. Vol.11. No.8. (2006) 885-898. PDF
(arXiv:1107.5436)
V.E. Tarasov, G.M. Zaslavsky
"Dynamics with low-level fractionality"
Physica A. Vol.368. No.2. (2006) 399-415. PDF
(physics/0511138)
V.E. Tarasov, G.M. Zaslavsky
"Fractional dynamics of coupled oscillators with
long-range interaction"
Chaos. Vol.16. No.2.
(2006) 023110. (13 pages) PDF
(nlin.PS/0512013)
V.E. Tarasov
"Transport
equations from Liouville equations for fractional systems"
International Journal of Modern Physics B. Vol.20.
No.3. (2006) 341-353. PDF
(cond-mat/0604058)
V.E. Tarasov
"Gravitational
field of fractal distribution of particles"
Celestial
Mechanics and Dynamical Astronomy. Vol.94. No.1. (2006) 1-15. PDF
(astro-ph/0604491)
V.E. Tarasov
"Fractional
generalization of gradient and Hamiltonian systems"
Journal
of Physics A. Vol.38. No.26. (2005) 5929-5943. PDF
(math.DS/0602208)
V.E. Tarasov
"Electromagnetic
field of fractal distribution of charged particles"
Physics
of Plasmas. Vol.12. No.8. (2005) 082106 (9 pages). PDF
(physics/0610010)
V.E. Tarasov
"Multipole
moments of fractal distribution of charges"
Modern
Physics Letters B. Vol.19. No.22. (2005) 1107-1118. PDF
(physics/0606251)
V.E. Tarasov
"Fractional
hydrodynamic equations for fractal media"
Annals
of Physics. Vol.318. No.2. (2005) 286-307. PDF
(physics/0602096)
V.E. Tarasov
"Dynamics
of fractal solid"
International Journal of Modern
Physics B. Vol.19. No.27. (2005) 4103-4114. PDF
( arXiv:0710.0787)
V.E. Tarasov
"Fractional
generalization of gradient systems"
Letters in
Mathematical Physics. Vol.73. No.1. (2005) 49-58. PDF
(nlin.CD/0604007)
V.E. Tarasov
"Wave
equation for fractal solid string"
Modern Physics
Letters B. Vol.19. No.15. (2005) 721-728. PDF
(physics/0605006)
V.E. Tarasov
"Phase-space
metric for non-Hamiltonian systems"
Journal of
Physics A. Vol.38. No.10/11. (2005) 2145-2155. PDF
(math.DS/0602433)
V.E. Tarasov
"Continuous
medium model for fractal media"
Physics Letters A.
Vol.336. N.2/3. (2005) 167-174. PDF
(cond-mat/0506137)
V.E. Tarasov
"Possible
experimental test of continuous medium model for fractal media"
Physics Letters A. Vol.341. N.5/6. (2005) 467-472.
PDF
(physics/0602121)
V.E. Tarasov
"Thermodynamics
of few-particle systems"
International Journal of
Modern Physics B. Vol.19. No.5. (2005) 879-897. PDF
(arxiv:0706.3455)
V.E. Tarasov
"Fractional
Fokker-Planck equation for fractal media"
Chaos.
Vol.15. No.2. (2005) 023102. PDF
(nlin.CD/0602029)
V.E. Tarasov, G.M. Zaslavsky
"Fractional Ginzburg-Landau equation for fractal
media"
Physica A. Vol.354. (2005) 249-261.
PDF
(physics/0511144)
V.E. Tarasov
"Fractional
Liouville and BBGKI equations"
Journal of Physics:
Conference Series. Vol.7. (2005) 17-33. PDF
(nlin.CD/0602062)
V.E. Tarasov
"Stationary
solutions of Liouville equations for non-Hamiltonian systems"
Annals of Physics. Vol.316. No.2. (2005) 393-413.
PDF
(cond-mat/0602409)
V.E. Tarasov
"Fractional
systems and fractional Bogoliubov hierarchy equations"
Physical Review E. Vol.71. No.1. (2005) 011102 (12
pages). PDF
(cond-mat/0505720)
V.E. Tarasov
"Path
integral for quantum operations"
Journal of
Physics A. Vol.37. No.9. (2004) 3241-3257. PDF
(arXiv:0706.2142)
V.E. Tarasov
"Fractional
generalization of Liouville equations"
Chaos.
Vol.14. No.1. (2004) 123-127. PDF
(nlin.CD/0312044)
V.E. Tarasov
"Classical
canonical distribution for dissipative systems"
Modern
Physics Letters B. Vol.17. No.23. (2003) 1219-1226.
PDF
(cond-mat/0311536)
V.E. Tarasov
"Pure
stationary states of open quantum systems"
Physical
Review E. Vol.66. No.5. (2002) 056116. PDF
(quant-ph/0311177)
V.E. Tarasov
"Quantum
computer with mixed states and four-valued logic"
Journal
of Physics A. Vol.35. No.25. (2002) 5207-5235.
PDF
(quant-ph/0312131)
V.E. Tarasov
"Stationary
states of dissipative quantum systems"
Physics
Letters A. Vol.299. No.2/3. (2002) 173-178. PDF
(arXiv:1107.5907)
V.E. Tarasov
"Quantization
of non-Hamiltonian and dissipative systems"
Physics
Letters A. Vol.288. No.3/4. (2001) 173-182. PDF
(quant-ph/0311159)
V.E. Tarasov
"Weyl
quantization of dynamical systems with flat phase space"
Moscow University Physics Bulletin. Vol.56. No.6.
(2001) 5-10. PDF
Vestnik
Moscovskogo Universiteta. Seria 3. Fizika i Astronomiya. Vol.56.
No.6. (2001) 6-9. PDF
V.E. Tarasov
"Quantization
of non-Hamiltonian systems"
Theoretical Physics.
Vol.2. (2001) 150-160. PDF
V.E. Tarasov
"Quantum
dissipative systems: IV. Analogues of Lie algebras and groups"
Theoretical and Mathematical Physics. Vol.110. No.2.
(1997) 168-178. PDF
(Teoreticheskaia i Matematicheskaia Fizika. Vol. 110. No.2.
(1997) 214-227. PDF
in Russian)
V.E. Tarasov
"Quantum
dissipative systems: III. Definition and algebraic structure"
Theoretical and Mathematical Physics. Vol.110. No.1.
(1997) 57-67. PDF
(Teoreticheskaia
i Matematicheskaia Fizika. Vol. 110. No.1. (1997) 73-85. PDF
in Russian)
V.E. Tarasov
"Bosonic
string in affine-metric curved space"
Physics
Letters B. Vol.323. No.3/4. (1994) 296-304. PDF
(hep-th/0401223)
V.E. Tarasov
"Two-loop
beta-function for nonlinear sigma model with affine-metric manifold"
Modern Physics Letters A. Vol.9. No.26. (1994)
2411-2419. PDF
V.E. Tarasov
"Quantum
dissipative systems: I. Canonical quantization and quantum Liouville
equation"
Theoretical and Mathematical Physics.
Vol.100. No.3. (1994) 1100-1112. PDF
(Teoreticheskaia
i Matematicheskaia Fizika. Vol.100. No.3. (1994) 402-417. PDF
in Russian)
V.E. Tarasov
"Quantum
dissipative systems: II. String in a curved affine-metric
space-time"
Theoretical and Mathematical Physics.
Vol.101. No.1. (1994) 1184-1190. PDF
(Teoreticheskaia
i Matematicheskaia Fizika. Vol.101. No.1. (1994) 38-46. PDF
in Russian)
V.E. Tarasov
"Quantization,
generating functional and conformal anomaly for a nonlinear
affine-metric sigma-model"
Physics of Atomic
Nuclei. Vol.56. No.11. (1993) 1608-1612.
(Yadernaia Fizika.
Vol.56. No.11. (1993) 269-276.) PDF
A.P. Demichev, M.Z. Iofa, Yu.A.
Kubyshin, V.E. Tarasov
"Possible manifestations of
multidimensionality of space-time in a simple mode"
Physics
of Atomic Nuclei. Vol.56. No.11. (1993) 1582-1584.
(Yadernaia
Fizika. Vol.56. No.11. (1993) 222-226.) PDF
V.V. Belokurov, V.E.
Tarasov
"Invariant regularization of infrared
divergences in the background field methods for two-dimensional
nonlinear theories"
Moscow University Physics
Bulletin. Vol.46. No.6. (1991) 14-17. PDF
V.V. Belokurov, V.E. Tarasov
"Ultraviolet
finiteness of nonlinear two-dimensional sigma-models on
affine-metric manifolds"
Theoretical and
Mathematical Physics. Vol.78. No.3. (1989) 334-337.
PDF
(Teoreticheskaia
i Matematicheskaia Fizika. Vol.78. No.3. (1989) 471-474. PDF
in Russian)
G.M. Zaslavsky, V.E.
Tarasov
"Fractional generalization of Ginzburg-Landau and
nonlinear Schroedinger equations"
in Proceedings of the
ASME International Design Engineering Technical Conferences and
Computers and Information in Engineering Conference - DETC 2005,
6 B.
(September 24-28, 2005 Long Beach, CA) pp.1407-1414.
(DECT2005-84266).
V.E. Tarasov
"Canonical
Gibbs distribution for dissipative systems"
in Proc. XVII
Int. Workshop on High Energy Physics and Quantum Field Theory.
(Samara-Saratov, Russia, September 4-11, 2003)
Ed. by M.N.
Dubinin and V.I. Savrin (MSU, Moscow, 2004). pp.432-442.
V.E. Tarasov
"Pure
stationary states of non-Hamiltonian and dissipative quantum
systems"
in Proc. XVI Int. Workshop on High Energy Physics
and Quantum Field Theory.
(September 6-12, Moscow, 2001)
Ed.
by M.N. Dubinin and V.I. Savrin (MSU, Moscow, 2002). pp.389-397.
(quant-ph/0201033)
V.E. Tarasov
"Dynamical
quantization"
in Proc. XV Int. Workshop on High Energy
Physics and Quantum Field Theory.
(Tver, Russia, September 7-13,
2000)
Ed. by M.N. Dubinin and V.I. Savrin (MSU, Moscow, 2001).
pp.362-371.
V.E. Tarasov
"Quantum
theory and non-Hamiltonian systems: path-integral approach"
in
Proc. XIV Int. Workshop on High Energy Physics and Quantum Field
Theory.
(Moscow, Russia, May 27 - June 2, 1999)
Ed. by B.B.
Levtchenko and V.I. Savrin (MSU, Moscow, 2000). pp.637-640.
V.E. Tarasov
"Quantum
non-Hamiltonian systems: definition and algebraic structures"
in Proc. XI Int. Workshop on High Energy Physics and Quantum
Field Theory.
(Sankt-Petersburg, Russia, September 12-18, 1996)
Ed. by B.B. Levtchenko. (MSU, Moscow, 1997). pp.368-371.
V.E. Tarasov
"Analog
of Lie algebra and Lie group for quantum non-Hamiltonian systems"
in Proc. X Int. Workshop on High Energy Physics and Quantum
Field Theory.
(Zvenigorod, Russia, September 20-26, 1995)
Ed.
by B.B. Levtchenko. (MSU, Moscow, 1996). pp.310-316.
(hep-th/9601063)
V.E. Tarasov
"Strings
and dissipative mechanics"
in Proc. IX Int. Workshop on
High Energy Physics and Quantum Field Theory.
(Zvenigorod,
Russia, September 16-22, 1994)
Ed. by B.B. Levtchenko. (MSU,
Moscow, 1995). pp.332-339. (hep-th/9506053)
V.E. Tarasov
"Phase space
path integral for non-Hamiltonian systems"
in Proc. Joint
Int. Workshop on High Energy Physics and Quantum Field
Theory
(Zvenigorod, Russia, September 15-21, 1993)
Ed. by B.B.
Levtchenko. (MSU, Moscow, 1994). pp.205-209.
V.E. Tarasov
"CompHEP
catalogue. Higgs decay modes in Standard Model (H --> 2x, 3x
processes)"
in Proc. 2-nd Workshop on Physics at VLEPP
(Protvino, Russia, June 2-4, 1992) Supplement. 1992. pp.89-106.
V.E. Tarasov
"Nonlinear two-dimensional sigma-model:
nonmetricity from non-holonomic functional and inconstant string
tension"
in Proc. Int. Confer. on Current problems of
fundamental sciences.
(Moscow, Russia, October 28 - November 1,
1991) Vol.3. Ed. by I.B. Fyodorov.
(Moscow, Moscow State Bauman
Technical University), 1991. pp.62-64.
V.E. Tarasov
"Fractional
stability" 2007, 5p. arXiv:0711.2117
V.E. Tarasov
"Quantum
computations by quantum operations with mixed states."
2002.
11p. LANL E-print archiv: quant-ph/0201033.
V.E. Tarasov
"Open n-qubit
system as a quantum computer with four-valued logic"
Preprint
SINP MSU. No.2001-31/671. 25p. LANL E-print archiv:
quant-ph/0112023.
V.E. Tarasov
"Quantization
of Lorenz-type systems"
Preprint SINP MSU. No.2001-22/662.
15p.
V.E. Tarasov
"Quantization
of non-Hamiltonian systems"
Preprint SINP MSU. No.
2000-33/637. 15p. LANL E-print archiv: quant-ph/0108120.
V.E. Tarasov
"Dissipative
quantum mechanics: The generalization of the canonical quantization
and von Neumann equation"
Preprint ICTP. No.IC-94-192. 23p.
LANL E-print archiv: hep-th/9410025. PDF
A.P. Demichev, M.Z. Iofa, Yu.A.
Kubyshin, V.E. Tarasov
"Possible manifestations of
multidimensionality of space-time in a simple models"
Preprint
SNUTP. No.92-106, Seoul: Seoul National Univ. Press, 1992. 9p.
V.E. Tarasov
"Dissipative
quantum dynamics and nonlinear sigma-model"
Preprint SINP
MSU. No.92-33/282. 22p.
V.E. Tarasov, V.V. Belokurov
"The correlation
between the connection and the metric as ultraviolet finiteness
condition"
Preprint ICTP. No.IC-90-168. Trieste, 1990. 22p.
PDF
M.Z. Iofa, Yu.A. Kubyshin, A.P.
Demichev, V.E. Tarasov
"Investigation of gauge and string
aspects of M-theory"
Information Bulletin of Russian
Foundation for Basic Research, Vol.7. (1999) No.2. p.438. (in
Russian)
M.Z. Iofa, A.P. Demichev, Yu.A.
Kubyshin, V.E. Tarasov
"Quantization of the gravity models
and higher-order effects of string perturbation theory"
Information Bulletin of Russian Foundation for Basic Research,
Vol.4. (1996) No.2. p.152. (in Russian)
V.V. Belokurov, M.Z. Iofa, V.E. Tarasov
"Higher-order
effects of string perturbation theory and two-dimensional black
holes"
Information Bulletin of Russian Foundation for Basic
Research, Vol.2. (1994) No.2. p.525. (in Russian)
S. Belyaeva, V.E. Tarasov
"Quantum Computer", (in Russian: "V labirintah
Kvantovogo Mozga")
Vokrug Sveta. Vol.2779. No.8. August
2005. pp.86-92. (in
Russian)
V.E. Tarasov
"Quantum
Fields and Superstrings", (in Russian: "Muzika Sfer")
Vokrug Sveta. Vol.2772. No.1. January 2005. pp.30-40 (in
Russian)
V.E. Tarasov
"Quantum World", (in Russian:
"Portchionnii Mikromir")
Vokrug Sveta. Vol.2766. No.7.
July 2004. pp.76-86. (in
Russian)
V.E. Tarasov
"Method
of Solving C5 Problems of United State Exam in Mathematics"
(MAKS Press, Moscow, 2013). - 80 p. (ISBN 978-5-317-04432-9)
in Russian.
V.E. Tarasov
"The
Coordinate Method for Solving C2 Problems of United State Exam in
Mathematics"
(MAKS Press, Moscow, 2012). - 48 p. (ISBN
978-5-317-04054-3) in Russian.
G.P. Berman, A.A. Vasiliev, N.S. Erokhin, L.M. Zeleny, V.A.
Ignatchenko, A. Iomin, E.Ya. Kogan, A.K. Kolovsky,
R.R. Mukhin,
A.I. Neishtadt, S.V. Prants, V.E. Tarasov, A.M. Fridman,
"G.M.
Zaslavsky 1935-2008", (in Russian)
Applied Nonlinear
Dynamics. Vol.17. No.1. (2009). pp.137-149. PDF
(in Russian)
V.V. Tarasova, V.E. Tarasov, Criteria hereditarity of economic process and memory effect // Young scientist [Molodoj Uchenyj]. 2016. No. 14 (118). P. 396-399. [in Russian]
V.V. Tarasova, V.E. Tarasov, Marginal utility for economic processes with memory // Almanac of Modern Science and Education [Almanah Sovremennoj Nauki i Obrazovaniya]. 2016. No. 7 (109). P. 108-113. [in Russian]
V.V. Tarasova, V.E. Tarasov, Price elasticity of demand with memory // Economics, Sociology and Law. [Ekonomika, Sociologiya i Pravo]. 2016. No. 4-1. P. 98-106. [in Russian]
V.V. Tarasova, V.E. Tarasov, Economic indicators: Ambiguity and memory effects // Economics. Management. Law. [Ekonomika. Upravlenie. Pravo] 2016. No. 3 (66). P. 3-5. [in Russian]
V.V. Tarasova, V.E. Tarasov, Elasticity of OTC cash turnover of currency market of Russian Federation // Actual Problems of Humanities and Natural Sciences. [Aktualnye Problemy Gumanitarnyh i Estestvennyh Nauk]. 2016. No. 7-1 (90). P. 207-215. [in Russian]
V.V. Tarasova, V.E. Tarasov, On applicability of point elasticity of demand on price to exchange trading on US dollar // Scientific Perspective [Nauchnaya Perspektiva]. 2016. No. 6 (76). P. 6-11. [in Russian]
V.V. Tarasova, V.E. Tarasov, Economic indicator that generalizes average and marginal values // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2016. No. 11-1 (76-1). P. 817-823. [in Russian]
V.V. Tarasova, V.E. Tarasov, Marginal values of non-integer order in economic analysis // Azimuth Scientific Research: Economics and Management [Azimut Nauchnih Issledovanii: Ekonomika i Upravlenie]. 2016. No. 3 (16). P. 197-201. [in Russian]
V.V. Tarasova, V.E. Tarasov, A generalization of concepts of accelerator and multiplier to take into account memory effects in macroeconomics // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2016. No. 10-3 (75-3). P. 1121-1129. [in Russian]
\item V.V. Tarasova, V.E. Tarasov, Deterministic factor analysis: methods of integro-differentiation of non-integral order // Actual Problems of Economics and Law [Aktualnye Problemy Ekonomiki i Prava]. 2016. Vol. 10. No. 4. P. 77-87. DOI: 10.21202/1993-047X.10.2016.4.77-87 [in Russian]
V.V. Tarasova, V.E. Tarasov, Non-local measures of risk aversion in the economic process // Economics: Theory and Practice [Ekonomika: Teoriya i Praktika]. 2016. No. (44). P. 54-58. [in Russian]
V.V. Tarasova, V.E. Tarasov, Hereditary generalization of Harrod-Domar model and memory effects // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2016. No. 10-2 (75-2). P. 72-78. [in Russian]
V.V. Tarasova, V.E. Tarasov, Memory effects in hereditary Harrod-Domar model // Problems of Modern Science and Education [Problemy Sovremennoj Nauki i Obrazovaniya]. 2016. No. 32 (74). P. 38-44. DOI: 10.20861/2304-2338-2016-74-002 [in Russian]
V.V. Tarasova, V.E. Tarasov, Keynesian model of economic growth with memory // Economics and Management: Problems, Solutions [Ekonomika i Upravlenie: Problemy i Resheniya]. 2016. No. 10-2 (58). P. 21-29. [in Russian]
V.V. Tarasova, V.E. Tarasov, Memory effects in hereditary Keynes model // Problems of Modern Science and Education [Problemy Sovremennoj Nauki i Obrazovaniya]. 2016. No. 38 (80). P. 56-61. DOI: 10.20861/2304-2338-2016-80-001 [in Russian]
V.V. Tarasova, V.E. Tarasov, Influence of memory effects on world economics and business // Azimuth Scientific Research: Economics and Management [Azimut Nauchnih Issledovanii: Ekonomika i Upravlenie]. 2016. Vol. 5. No. 4 (17). P. 369-372. [in Russian]
V.V. Tarasova, V.E. Tarasov, Dynamic intersectoral models with memory that generalize Leontief model // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2017. No. 2-1 (79-1). P. 913-924. [in Russian]
V.V. Tarasova, V.E. Tarasov, Risk aversion for investors with memory: Hereditary generalizations of Arrow-Pratt measure // Financial Journal [Finansovyj Zhurnal]. 2017. No. 2 (36). P. 46-63. [in Russian]
V.V. Tarasova, V.E. Tarasov, Chronological exponent for processes with memory and dynamic intersectoral economic models // Science and Education Today [Nauka i Obrazovanie Segodnya]. 2017. No. 4 (15). P. 29-39. [in Russian]
V.V. Tarasova, V.E. Tarasov, Economic model of natural growth with dynamic memory // Actual Problems of Humanities and Natural Sciences. [Aktualnye Problemy Gumanitarnyh i Estestvennyh Nauk]. 2017. No. 4-2. P. 51-58. [in Russian]
V.V. Tarasova, V.E. Tarasov, Macroeconomic models with dynamic memory // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2017. No.3-2 (80-2). P. 26-35. [in Russian]
V.V. Tarasova, V.E. Tarasov, Notion of dynamic memory in economic theory // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2017. No. 6 (83). P. 868-880. [in Russian]
V.V. Tarasova, V.E. Tarasov, Exact discretization of economic accelerators and multipliers with memory // Journal of Economy and Entrepreneurship [Ekonomika i Predprinimatelstvo]. 2017. No. 7 (84). P. 1063-1069. [in Russian]
V.V. Tarasova, V.E. Tarasov, Discrete accelerator with memory in macroeconomics // Economics. 2017. No. 8 (29). P. [in Russian]
V.V. Tarasova, V.E. Tarasov, Long-term and short-term memory in discrete economic models // Competitiveness in a global world: economics, science, technology. [Konkurentosposobnost v Globalnom Mire: Ekonomika, Nauka, Tekhnologii] 2017. No. 7. P. 155-160. [in Russian]
V.V. Tarasova, V.E. Tarasov, Discrete accelerator with memory in macroeconomics // Economics. 2017. No. 8 (29) P. 32-40.
\V.V. Tarasova, V.E. Tarasov, Accelerators in macroeconomics: a comparison of discrete and continuous approaches // Scientific Journal [Nauchnyy Zhurnal]. 2017. No. 8 (21). P. 4-14.
V.V. Tarasova, V.E. Tarasov, Microeconomic meaning of derivatives of non-integer order // Science and Education Today [Nauka i Obrazovanie Segodnya]. 2017. No. 8 (19). P. 32-39
\V.V. Tarasova, V.E. Tarasov, Model of economic growth with constant rate and dynamic memory // Economics, Sociology and Law. [Ekonomika, Sociologiya i Pravo]. 2017. No. 8. P. 18-24.