-
3
-
-
0036887936
-
Chaos, fractional kinetics, and anomalous transport
-
Zaslavsky G M 2002 Chaos, fractional kinetics, and anomalous transport Phys. Rep. 371 461-580
-
(2002)
Phys. Rep.
, vol.371
, Issue.6
, pp. 461-580
-
-
Zaslavsky, G.M.1
-
7
-
-
0022492943
-
The realization of the generalized transfer equation in a medium with fractal geometry
-
Nigmatullin R R 1986 The realization of the generalized transfer equation in a medium with fractal geometry Phys. Status Solidi b 133 425-30
-
(1986)
Phys. Status Solidi
, vol.133
, Issue.1
, pp. 425-430
-
-
Nigmatullin, R.R.1
-
8
-
-
0004681849
-
Fractional integral and its physical interpretation
-
Nigmatullin R R 1992 Fractional integral and its physical interpretation Theor. Math. Phys. 90 242-51
-
(1992)
Theor. Math. Phys.
, vol.90
, Issue.3
, pp. 242-251
-
-
Nigmatullin, R.R.1
-
9
-
-
13444252540
-
Continuous medium model for fractal media
-
Tarasov V E 2005 Continuous medium model for fractal media Phys. Lett. A 336 167-74
-
(2005)
Phys. Lett.
, vol.336
, Issue.2-3
, pp. 167-174
-
-
Tarasov, V.E.1
-
10
-
-
20444386984
-
Fractional hydrodynamic equations for fractal media
-
Tarasov V E 2005 Fractional hydrodynamic equations for fractal media Ann. Phys. 318 286-307
-
(2005)
Ann. Phys.
, vol.318
, Issue.2
, pp. 286-307
-
-
Tarasov, V.E.1
-
11
-
-
20444395073
-
Possible experimental test of continuous medium model for fractal media
-
Tarasov V E 2005 Possible experimental test of continuous medium model for fractal media Phys. Lett. A 341 467-72
-
(2005)
Phys. Lett.
, vol.341
, Issue.5-6
, pp. 467-472
-
-
Tarasov, V.E.1
-
12
-
-
23844432993
-
Wave equation for fractal solid string
-
Tarasov V E 2005 Wave equation for fractal solid string Mod. Phys. Lett. B 19 721-8
-
(2005)
Mod. Phys. Lett.
, vol.19
, Issue.15
, pp. 721-728
-
-
Tarasov, V.E.1
-
13
-
-
31144474647
-
Fractional Fokker-Planck equation for fractal media
-
Tarasov V E 2005 Fractional Fokker-Planck equation for fractal media Chaos 15 023102
-
(2005)
Chaos
, vol.15
-
-
Tarasov, V.E.1
-
14
-
-
41349084761
-
Fractional Schrodinger equation
-
Laskin N 2002 Fractional Schrodinger equation Phys. Rev. E 66 056108
-
(2002)
Phys. Rev.
, vol.66
, pp. 056108
-
-
Laskin, N.1
-
15
-
-
0034363921
-
Fractals and quantum mechanics
-
Laskin N 2000 Fractals and quantum mechanics Chaos 10 780-90
-
(2000)
Chaos
, vol.10
, Issue.4
, pp. 780-790
-
-
Laskin, N.1
-
16
-
-
0034271488
-
Fractional quantum mechanics
-
Laskin N 2000 Fractional quantum mechanics Phys. Rev. E 62 3135-45
-
(2000)
Phys. Rev.
, vol.62
, Issue.3
, pp. 3135-3145
-
-
Laskin, N.1
-
17
-
-
0000415309
-
Fractional quantum mechanics and Levy path integrals
-
Laskin N 2000 Fractional quantum mechanics and Levy path integrals Phys. Lett. A 268 298-305
-
(2000)
Phys. Lett.
, vol.268
, Issue.4-6
, pp. 298-305
-
-
Laskin, N.1
-
18
-
-
4544250038
-
Time fractional Schrodinger equation
-
Naber M 2004 Time fractional Schrodinger equation J. Math. Phys. 45 3339-52
-
(2004)
J. Math. Phys.
, vol.45
, Issue.8
, pp. 3339-3352
-
-
Naber, M.1
-
19
-
-
43949160116
-
Fractional kinetic equation for hamiltonian chaos
-
Zaslavsky G M 1994 Fractional kinetic equation for hamiltonian chaos Physica D 76 110-22
-
(1994)
Physica
, vol.76
, Issue.1-3
, pp. 110-122
-
-
Zaslavsky, G.M.1
-
20
-
-
0000599032
-
Fractional kinetic equations: Solutions and applications
-
Saichev A I and Zaslavsky G M 1997 Fractional kinetic equations: solutions and applications Chaos 7 753-64
-
(1997)
Chaos
, vol.7
, Issue.4
, pp. 753-764
-
-
Saichev, A.I.1
Zaslavsky, G.M.2
-
21
-
-
2642552259
-
Fractional kinetics: From pseudochaotic dynamics to Maxwell's demon
-
Zaslavsky G M and Edelman M A 2004 Fractional kinetics: from pseudochaotic dynamics to Maxwell's demon Physica D 193 128-47
-
(2004)
Physica
, vol.193
, Issue.1-4
, pp. 128-147
-
-
Zaslavsky, G.M.1
Edelman, M.A.2
-
23
-
-
19944384253
-
Fractional Ginzburg-Landau equation for fractal media
-
Tarasov V E and Zaslavsky G M 2005 Fractional Ginzburg-Landau equation for fractal media Physica A 354 249-61
-
(2005)
Physica
, vol.354
, pp. 249-261
-
-
Tarasov, V.E.1
Zaslavsky, G.M.2
-
24
-
-
33744831468
-
Dynamics with low-level fractionality
-
Tarasov V E and Zaslavsky G M 2006 Dynamics with low-level fractionality Physica A (Preprint physics/0511138) at press
-
(2006)
Physica
-
-
Tarasov, V.E.1
Zaslavsky, G.M.2
-
25
-
-
0035679868
-
Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence model
-
Carreras B A, Lynch V E and Zaslavsky G M 2001 Anomalous diffusion and exit time distribution of particle tracers in plasma turbulence model Phys. Plasmas 8 5096-103
-
(2001)
Phys. Plasmas
, vol.8
, Issue.12
, pp. 5096-5103
-
-
Carreras, B.A.1
Lynch, V.E.2
Zaslavsky, G.M.3
-
26
-
-
24344459045
-
Electromagnetic field of fractal distribution of charged particles
-
Tarasov V E 2005 Electromagnetic field of fractal distribution of charged particles Phys. Plasmas 12 082106
-
(2005)
Phys. Plasmas
, vol.12
-
-
Tarasov, V.E.1
-
27
-
-
27344442012
-
Multipole moments of fractal distribution of charges
-
Tarasov V E 2005 Multipole moments of fractal distribution of charges Mod. Phys. Lett. B 19 1107-18
-
(2005)
Mod. Phys. Lett.
, vol.19
, Issue.22
, pp. 1107-1118
-
-
Tarasov, V.E.1
-
28
-
-
33744819200
-
Magnetohydrodynamics of fractal media
-
Tarasov V E 2006 Magnetohydrodynamics of fractal media Phys. Plasmas 13 052107
-
(2006)
Phys. Plasmas
, vol.13
-
-
Tarasov, V.E.1
-
29
-
-
32944461493
-
Gravitational field of fractal distribution of particles
-
Tarasov V E 2006 Gravitational field of fractal distribution of particles Celest. Mech. Dyn. Astron. 19 1-15
-
(2006)
Celest. Mech. Dyn. Astron.
, vol.19
, pp. 1-15
-
-
Tarasov, V.E.1
-
30
-
-
0000145521
-
On Mittag-Leffler-type functions in fractional evolution processes
-
Mainardi F and Gorenflo R 2000 On Mittag-Leffler-type functions in fractional evolution processes J. Comput. Appl. Math. 118 283-99
-
(2000)
J. Comput. Appl. Math.
, vol.118
, Issue.1-2
, pp. 283-299
-
-
Mainardi, F.1
Gorenflo, R.2
-
31
-
-
0030464353
-
Fractional relaxation-oscillation and fractional diffusion-wave phenomena
-
Mainardi F 1996 Fractional relaxation-oscillation and fractional diffusion-wave phenomena Chaos Solitons Fractals 7 1461-77
-
(1996)
Chaos Solitons Fractals
, vol.7
, Issue.9
, pp. 1461-1477
-
-
Mainardi, F.1
-
32
-
-
1842535435
-
Fractional generalization of Liouville equation
-
Tarasov V E 2004 Fractional generalization of Liouville equation Chaos 14 123-7
-
(2004)
Chaos
, vol.14
, Issue.1
, pp. 123-127
-
-
Tarasov, V.E.1
-
33
-
-
41349084525
-
Fractional systems and fractional Bogoliubov hierarchy equations
-
Tarasov V E 2005 Fractional systems and fractional Bogoliubov hierarchy equations Phys. Rev. E 71 011102
-
(2005)
Phys. Rev.
, vol.71
, pp. 011102
-
-
Tarasov, V.E.1
-
34
-
-
20444376273
-
Fractional Liouville and BBGKI equations
-
Tarasov V E 2005 Fractional Liouville and BBGKI equations J. Phys. Conf. Ser. 7 17-33
-
(2005)
J. Phys. Conf. Ser.
, vol.7
, Issue.1
, pp. 17-33
-
-
Tarasov, V.E.1
-
35
-
-
32644440042
-
Transport equations from Liouville equations for fractional systems
-
Tarasov V E 2006 Transport equations from Liouville equations for fractional systems Int. J. Mod. Phys. B 2 341-54
-
(2006)
Int. J. Mod. Phys.
, vol.20
, Issue.3
, pp. 341-354
-
-
Tarasov, V.E.1
-
36
-
-
21244457230
-
Fractional generalization of gradient and Hamiltonian systems
-
Tarasov V E 2005 Fractional generalization of gradient and Hamiltonian systems J. Phys. A: Math. Gen. 38 5929-43
-
(2005)
J. Phys. A: Math. Gen.
, vol.38
, Issue.26
, pp. 5929-5943
-
-
Tarasov, V.E.1
-
38
-
-
33744801927
-
Fractional dynamics of coupled oscillators with long-range interaction
-
Tarasov V E and Zaslavsky G M 2006 Fractional dynamics of coupled oscillators with long-range interaction Chaos 16 023110 (Preprint nlin.PS/0512013)
-
(2006)
Chaos
, vol.16
-
-
Tarasov, V.E.1
Zaslavsky, G.M.2
-
40
-
-
33745306633
-
Coupled oscillators with power-law interaction and their fractional dynamics analogues
-
Korabel N, Zaslavsky G M and Tarasov V E 2006 Coupled oscillators with power-law interaction and their fractional dynamics analogues Commun. Nonlinear Sci. Numer. Simul. 11 at press (Preprint math-ph/0603074)
-
(2006)
Commun. Nonlinear Sci. Numer. Simul.
, vol.11
-
-
Korabel, N.1
Zaslavsky, G.M.2
Tarasov, V.E.3
-
42
-
-
27944461945
-
Self-similar anomalous diffusion and Levy-stable laws
-
Uchaikin V V 2003 Self-similar anomalous diffusion and Levy-stable laws Phys.-Usp. 46 821-49
-
(2003)
Phys.-Usp.
, vol.46
, Issue.8
, pp. 821-849
-
-
Uchaikin, V.V.1
-
43
-
-
33646917659
-
Anomalous diffusion and fractional stable distributions
-
Uchaikin V V 2003 Anomalous diffusion and fractional stable distributions J. Exp. Theor. Phys. 97 810-25
-
(2003)
J. Exp. Theor. Phys.
, vol.97
, Issue.4
, pp. 810-825
-
-
Uchaikin, V.V.1
-
46
-
-
0035532262
-
Fractional differential forms
-
Cottrill-Shepherd K and Naber M 2001 Fractional differential forms J. Math. Phys. 42 2203-12 (Preprint math-ph/0301013)
-
(2001)
J. Math. Phys.
, vol.42
, Issue.5
, pp. 2203-2212
-
-
Cottrill-Shepherd, K.1
Naber, M.2
-
48
-
-
84977255207
-
Linear models of dissipation whose Q is almost frequency independent: II
-
Caputo M 1967 Linear models of dissipation whose Q is almost frequency independent: II Geophys. J. R. Astron. Soc. 13 529-39
-
(1967)
Geophys. J. R. Astron. Soc.
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
49
-
-
0000930143
-
A new dissipation model based on memory mechanism
-
Caputo M and Mainardi F 1971 A new dissipation model based on memory mechanism Pure Appl. Geophys. 91 134-47
-
(1971)
Pure Appl. Geophys.
, vol.91
, Issue.1
, pp. 134-147
-
-
Caputo, M.1
Mainardi, F.2
-
53
-
-
0031531370
-
Quantum dissipative systems: III. Definition and algebraic structure
-
Tarasov V E 1997 Quantum dissipative systems: III. Definition and algebraic structure Theor. Math. Phys. 110 57-67
-
(1997)
Theor. Math. Phys.
, vol.110
, pp. 57-67
-
-
Tarasov, V.E.1
-
54
-
-
15544372963
-
Phase space metric for non-Hamiltonian systems
-
Tarasov V E 2005 Phase space metric for non-Hamiltonian systems J. Phys. A: Math. Gen. 38 2145-55
-
(2005)
J. Phys. A: Math. Gen.
, vol.38
, Issue.10
, pp. 2145-2155
-
-
Tarasov, V.E.1
-
56
-
-
33745316751
-
Models of continuous media with internal degrees of freedom
-
Sedov L I 1968 Models of continuous media with internal degrees of freedom J. Appl. Math. Mech. 32 803-19
-
(1968)
J. Appl. Math. Mech.
, vol.32
, Issue.5
, pp. 803-819
-
-
Sedov, L.I.1
-
57
-
-
0009357195
-
Mathematical methods for constructing new models of continuous media
-
Sedov L I 1965 Mathematical methods for constructing new models of continuous media Russ. Math. Surv. 20 123-82
-
(1965)
Russ. Math. Surv.
, vol.20
, Issue.5
, pp. 123-182
-
-
Sedov, L.I.1
-
61
-
-
0004465903
-
A formulation of the reaction coordinate
-
Fukui K 1970 A formulation of the reaction coordinate J. Phys. Chem. 74 4161-3
-
(1970)
J. Phys. Chem.
, vol.74
, Issue.23
, pp. 4161-4163
-
-
Fukui, K.1
-
62
-
-
33751044609
-
The path of chemical reactions-the IRS approach
-
Fukui K 1981 The path of chemical reactions-the IRS approach Acc. Chem Res. 14 363-8
-
(1981)
Acc. Chem Res.
, vol.14
, Issue.12
, pp. 363-368
-
-
Fukui, K.1
-
63
-
-
36749120357
-
Reaction path Hamiltonian for polyatomic molecules
-
Miller W H, Hardy N C and Adams J E 1980 Reaction path Hamiltonian for polyatomic molecules J. Chem. Phys. 72 99-112
-
(1980)
J. Chem. Phys.
, vol.72
, Issue.1
, pp. 99-112
-
-
Miller, W.H.1
Hardy, N.C.2
Adams, J.E.3
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