Модели теоретической физики с интегро-дифференцированием дробного порядка, страница 5
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Tarasov V.E. Quantization of non-Hamiltonian and dissipative systems // PhysicsLetters A. Vol.288. No.3-4. (2001) 173-182.2. Тарасов В.Е. Вейлевское квантование динамических систем с плоским фазовым пространством // Вестник Московского университете. Серия 3 Физика.Астрономия. Т. 56. No.6.
(2001) С. 6-9.3. Tarasov V.E. Fractional generalization of Liouville equations // Chaos. Vol.14.No.1. (2004) 123-127.4. Tarasov V.E. Fractional generalization of gradient and Hamiltonian systems //Journal of Physics A. Vol.38. No.26. (2005) 5929-5943.5. Tarasov V.E. Electromagnetic field of fractal distribution of charged particles //Physics of Plasmas. Vol.12.
No.8. (2005) 082106 (9 pages).6. Tarasov V.E. Multipole moments of fractal distribution of charges // ModernPhysics Letters B. Vol.19. No.22. (2005) 1107-1118.7. Tarasov V.E. Fractional hydrodynamic equations for fractal media // Annals ofPhysics. Vol.318. No.2.
(2005) 286-307.8. Tarasov V.E. Dynamics of fractal solid // International Journal of Modern PhysicsB. Vol.19. No.27. (2005) 4103-4114.9. Tarasov V.E. Fractional generalization of gradient systems // Letters in MathematicalPhysics. Vol.73. No.1. (2005) 49-58.10. Tarasov V.E. Wave equation for fractal solid string // Modern Physics Letters B.Vol.19. No.15. (2005) 721-728.2611.
Tarasov V.E. Continuous medium model for fractal media // Physics Letters A.Vol.336. No.2-3. (2005) 167-174.12. Tarasov V.E. Possible experimental test of continuous medium model for fractalmedia // Physics Letters A. Vol.341. No.5-6. (2005) 467-472.13. Tarasov V.E. Fractional Fokker-Planck equation for fractal media // Chaos.Vol.15. No.2. (2005) 023102.14. Tarasov V.E., Zaslavsky G.M. Fractional Ginzburg-Landau equation for fractalmedia // Physica A.
Vol.354. No.1-4. (2005) 249-261.15. Tarasov V.E. Fractional Liouville and BBGKI equations // Journal of Physics:Conference Series. Vol.7. (2005) 17-33.16. Tarasov V.E. Fractional systems and fractional Bogoliubov hierarchy equations// Physical Review E. Vol.71. No.1. (2005) 011102 (12 pages).17. Tarasov V.E. Map of discrete system into continuous // Journal of MathematicalPhysics.
Vol.47. No.9. (2006) 092901. (24 pages)18. Tarasov V.E. Fractional statistical mechanics // Chaos. Vol.16. No.3. (2006)033108.19. Tarasov V.E. Electromagnetic fields on fractals // Modern Physics Letters A.Vol.21. No.20. (2006) 1587-1600.20. Tarasov V.E. Continuous limit of discrete systems with long-range interaction //Journal of Physics A. Vol.39. No.48. (2006) 14895-14910.21. Tarasov V.E.
Fractional variations for dynamical systems: Hamilton and Lagrangeapproaches // Journal of Physics A. Vol.39. No.26. (2006) 8409-8425.22. Tarasov V.E. Psi-series solution of fractional Ginzburg-Landau equation // Journalof Physics A. Vol.39. No.26. (2006) 8395-8407.2723. Tarasov V.E. Magnetohydrodynamics of fractal media // Physics of Plasmas.Vol.13. No.5. (2006) 052107. (12 pages)24. Tarasov V.E., Zaslavsky G.M. Nonholonomic constraints with fractional derivatives// Journal of Physics A. Vol.39. No.31. (2006) 9797-9815.25. Tarasov V.E., Zaslavsky G.M. Fractional dynamics of systems with long-rangeinteraction // Communications in Nonlinear Science and Numerical Simulation.Vol.11.
No.8. (2006) 885-898.26. Tarasov V.E. Zaslavsky G.M., Dynamics with low-level fractionality // PhysicaA. Vol.368. No.2. (2006) 399-415.27. Tarasov V.E., Zaslavsky G.M. Fractional dynamics of coupled oscillators withlong-range interaction // Chaos. Vol.16. No.2. (2006) 023110. (13 pages)28. Tarasov V.E. Transport equations from Liouville equations for fractional systems// International Journal of Modern Physics B. Vol.20.
No.3. (2006) 341-353.29. Tarasov V.E. Gravitational field of fractal distribution of particles // CelestialMechanics and Dynamical Astronomy. Vol.94. No.1. (2006) 1-15.30. Tarasov V.E., Zaslavsky G.M. Fractional dynamics of systems with long-rangespace interaction and temporal memory // Physica A. Vol.383. No.2. (2007) 291308.31. Zaslavsky G.M., Edelman M., Tarasov V.E. Dynamics of the chain of oscillatorswith long-range interaction: from synchronization to chaos // Chaos.
Vol.17. No.4.(2007) 043124.32. Korabel N., Zaslavsky G.M., Tarasov V.E. Coupled oscillators with power-lawinteraction and their fractional dynamics analogues // Communications in NonlinearScience and Numerical Simulation. Vol.12. No.8. (2007) 1405-1417.2833. Tarasov V.E. Fractional Chapman-Kolmogorov equation // Modern Physics LettersB. Vol.21. No.4. (2007) 163-174.34. Tarasov V.E. Liouville and Bogoliubov equations with fractional derivatives //Modern Physics Letters B. Vol.21. No.5. (2007) 237-248.35. Tarasov V.E. Fractional derivative as fractional power of derivative // InternationalJournal of Mathematics.
Vol.18. No.3. (2007) 281-299.36. Tarasov V.E., Zaslavsky G.M. Conservation laws and Hamiltonian’s equations forsystems with long-range interaction and memory // Communications in NonlinearScience and Numerical Simulation. Vol.13. No.9. (2008) 1860-1878.37. Tarasov V.E. Fokker-Planck equation for fractional systems // International Journalof Modern Physics B.
Vol.21. No.6. (2007) 955-967.38. Tarasov V.E. Quantum Mechanics of Non-Hamiltonian and Dissipative Systems(Elsevier, Amsterdam, London, 2008). 540p.39. Tarasov V.E. Fractional Heisenberg equation // Physics Letters A. Vol.372. No.17.(2008) 2984-2988.40. Tarasov V.E. Chains with fractal dispersion law // Journal of Physics A. Vol.41.No.3. (2008) 035101. (6 pages)41. Tarasov V.E. Fractional vector calculus and fractional Maxwell’s equations //Annals of Physics.
Vol.323. No.11. (2008) 2756-2778.42. Tarasov V.E. Fractional equations of Curie-von Schweidler and Gauss laws //Journal of Physics: Condensed Matter. Vol.20. No.14. (2008) 145212.43. Tarasov V.E. Universal electromagnetic waves in dielectric // Journal of Physics:Condensed Matter. Vol.20. No.17. (2008) 175223.2944. Tarasov V.E., Zaslavsky G.M. Fractional generalization of Kac integral //Communications in Nonlinear Science and Numerical Simulation. Vol.13. No.2.(2008) 248-258.45.
Tarasov V.E. Fractional powers of derivatives in classical mechanics //Communications in Applied Analysis. Vol.12. No.4. (2008) 441-45046. Tarasov V.E., Zaslavsky G.M. Fokker-Planck equation with fractional coordinatederivatives // Physica A. Vol.387.
No.26. (2008) 6505-6512.47. Tarasov V.E., Zaslavsky G.M. Fractional equations of kicked systems and discretemaps // Journal of Physics A. Vol.41. No.43. (2008) 435101. (16 pages)48. Tarasov V.E. Weyl quantization of fractional derivatives // Journal of MathematicalPhysics, Vol.49. No.10.
(2008) 102112. (6 pages)49. Тарасов В.Е. Дробное обобщение квантового марковского производящего уравнения // Теоретическая и математическая физика. 2009. Т. 158. No.2. С. 214233.50. Тарасов В.Е. Дробные интегро-дифференциальные уравнения для электромагнитных волн в диэлектрических средах // Теоретическая и математическая физика. 2009. Т.
158. No.3. С. 419-424.51. Tarasov V.E. Differential equations with fractional derivative and universal mapwith memory // Journal of Physics A. Vol.42. No.46. (2009) 465102. (13 pages)52. Tarasov V.E. Discrete map with memory from fractional differential equation ofarbitrary positive order // Journal of Mathematical Physics. Vol.50. No.12. (2009)122703. (6 pages)53. Edelman M., Tarasov V.E. Fractional standard map // Physics Letters A. Vol.374.No.2.
(2009) 279-285.3054. Tarasov V.E. Fractional Dynamics: Applications of Fractional Calculus to Dynamicsof Particles, Fields and Media, (Springer, Higher Education Press, 2010) 516p.55. Tarasov V.E., Edelman M. Fractional dissipative standard map // Chaos. Vol.20.No.2. (2010) 023127. (7 pages).56. Tarasov V.E. Fractional dynamics of relativistic particle // International Journalof Theoretical Physics. Vol.49. No.2. (2010) 293-303.57. Tarasov V.E. Fractional Zaslavsky and Hénon discrete maps // Chapter 1 in Longrange Interaction, Stochasticity and Fractional Dynamics Luo A.C.J. AfraimovichV.S. (Eds.) (Springer, Higher Education Press, 2010) pp.1-26.58.
Тарасов В.Е. Модели теоретической физики с интегро-дифференцированиемдробного порядка Москва-Ижевск: Институт компьютерных исследований,2011. 568 с.31.