-
1
-
-
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
, pp. 461-580
-
-
Zaslavsky, G.M.1
-
3
-
-
34249711357
-
Coupled oscillators with power-law interaction and their fractional dynamics analogues
-
Korabel N, Zaslavsky G M and Tarasov V E 2007 Coupled oscillators with power-law interaction and their fractional dynamics analogues Commun. Nonlinear. Sci. Numer. Simul. 12 1405-1417
-
(2007)
Commun. Nonlinear. Sci. Numer. Simul.
, vol.12
, pp. 1405-1417
-
-
Korabel, N.1
Zaslavsky, G.M.2
Tarasov, V.E.3
-
4
-
-
0002641421
-
The random walk's guide to anomalous diffusion: A fractional dynamics approach
-
Metzler R and Klafter J 2000 The random walk's guide to anomalous diffusion: a fractional dynamics approach Phys. Rep. 339 1-77
-
(2000)
Phys. Rep.
, vol.339
, pp. 1-77
-
-
Metzler, R.1
Klafter, J.2
-
5
-
-
27944461945
-
Self-similar anomalous diffusion and Levy-stable laws
-
Uchaikin V V 2003 Self-similar anomalous diffusion and Levy-stable laws Phys. - Usp. 46 821-849
-
(2003)
Phys. - Usp.
, vol.46
, pp. 821-849
-
-
Uchaikin, V.V.1
-
7
-
-
33947692255
-
Exact solutions for time-fractional diffusion-wave equations by decomposition method
-
Ray S S 2007 Exact solutions for time-fractional diffusion-wave equations by decomposition method Phys. Scr. 46 53-61
-
(2007)
Phys. Scr.
, vol.46
, pp. 53-61
-
-
Ray, S.S.1
-
8
-
-
27744450698
-
Time-space fabric underlying anomalous diffusion
-
Chen W 2006 Time-space fabric underlying anomalous diffusion Chaos Solitons Fractals 28 923-929
-
(2006)
Chaos Solitons Fractals
, vol.28
, pp. 923-929
-
-
Chen, W.1
-
9
-
-
38349128567
-
Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses
-
Povstenko Y Z 2008 Fundamental solutions to three-dimensional diffusion-wave equation and associated diffusive stresses Chaos Solitons Fractals 36 961-972
-
(2008)
Chaos Solitons Fractals
, vol.36
, pp. 961-972
-
-
Povstenko, Y.Z.1
-
10
-
-
67649154697
-
Time-fractional derivatives in relaxation processes: A tutorial survey
-
Mainardi F and Gorenflo R 2007 Time-fractional derivatives in relaxation processes: a tutorial survey Fract. Calc. Appl. Anal. 10 269-308
-
(2007)
Fract. Calc. Appl. Anal.
, vol.10
, pp. 269-308
-
-
Mainardi, F.1
Gorenflo, R.2
-
11
-
-
33745713005
-
Effective medium equation for fractional Cattaneo's diffusion and heterogeneous reaction in disorder porous media
-
Valdes-Parada J F, Ochoa-Tapia J A and Alvarez-Ramirez J 2006 Effective medium equation for fractional Cattaneo's diffusion and heterogeneous reaction in disorder porous media Physica A 369 318-328
-
(2006)
Physica A
, vol.369
, pp. 318-328
-
-
Valdes-Parada, J.F.1
Ochoa-Tapia, J.A.2
Alvarez-Ramirez, J.3
-
13
-
-
0043210605
-
Front dynamics in reaction-diffusion systems with Levy flights: A fractional diffusion approach
-
del-Castillo-Negrete D, Carreras B A and Lynch V E 2003 Front dynamics in reaction-diffusion systems with Levy flights: a fractional diffusion approach Phys. Rev. Lett. 91 018302
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 018302
-
-
Del-Castillo-Negrete, D.1
Carreras, B.A.2
Lynch, V.E.3
-
14
-
-
6144267811
-
Subdiffusion and anomalous local viscoelasticity in acting networks
-
Amblard F, Maggs A C, Yurke B, Pargellis A N and Leibler S 1996 Subdiffusion and anomalous local viscoelasticity in acting networks Phys. Rev. Lett. 77 4470-4473
-
(1996)
Phys. Rev. Lett.
, vol.77
, pp. 4470-4473
-
-
Amblard, F.1
Maggs, A.C.2
Yurke, B.3
Pargellis, A.N.4
Leibler, S.5
-
15
-
-
0001478631
-
Ballistic versus diffusive pair dispersion in the Richardson regime
-
Sokolov I M, Klafter J and Blumen A 2000 Ballistic versus diffusive pair dispersion in the Richardson regime Phys. Rev. E 61 2717-2722
-
(2000)
Phys. Rev. E
, vol.61
, pp. 2717-2722
-
-
Sokolov, I.M.1
Klafter, J.2
Blumen, A.3
-
17
-
-
38349041965
-
Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation
-
Magin L M, Abdullah O, Baleanu D and Zhou X J 2008 Anomalous diffusion expressed through fractional order differential operators in the Bloch-Torrey equation J. Magn. Reson. 190 255-270
-
(2008)
J. Magn. Reson.
, vol.190
, pp. 255-270
-
-
Magin, L.M.1
Abdullah, O.2
Baleanu, D.3
Zhou, X.J.4
-
19
-
-
55149099624
-
Turing pattern formation in the Brusselator model with superdiffusion
-
Golovin A A, Matkowsky B J and Volpert V A 2008 Turing pattern formation in the Brusselator model with superdiffusion SIAM J. Appl. Math. 69 251-272
-
(2008)
SIAM J. Appl. Math.
, vol.69
, pp. 251-272
-
-
Golovin, A.A.1
Matkowsky, B.J.2
Volpert, V.A.3
-
20
-
-
33947604004
-
Turing pattern formation with fractional diffusion and fractional reactions
-
Langlands T A M, Henry B I and Wearne S L 2007 Turing pattern formation with fractional diffusion and fractional reactions J. Phys.: Condens. Matter 19 065115-65135
-
(2007)
J. Phys.: Condens. Matter
, vol.19
, pp. 065115-65135
-
-
Langlands, T.A.M.1
Henry, B.I.2
Wearne, S.L.3
-
21
-
-
40549123984
-
Anomalous subdiffusion with multispecies linear reaction dynamics
-
Langlands T A M, Henry B I and Wearne S L 2008 Anomalous subdiffusion with multispecies linear reaction dynamics Phys. Rev. E 77 021111
-
(2008)
Phys. Rev. E
, vol.77
, pp. 021111
-
-
Langlands, T.A.M.1
Henry, B.I.2
Wearne, S.L.3
-
22
-
-
27244451499
-
Turing pattern formation in fractional activator-inhibitor systems
-
Henry B I, Langlands T A M and Wearne S L 2005 Turing pattern formation in fractional activator-inhibitor systems Phys. Rev. E 72 026101
-
(2005)
Phys. Rev. E
, vol.72
, pp. 026101
-
-
Henry, B.I.1
Langlands, T.A.M.2
Wearne, S.L.3
-
23
-
-
33646097441
-
Pattern formation in a fractional reaction-diffusion system
-
Gafiychuk V and Datsko B 2006 Pattern formation in a fractional reaction-diffusion system Physica A 365 300-306
-
(2006)
Physica A
, vol.365
, pp. 300-306
-
-
Gafiychuk, V.1
Datsko, B.2
-
25
-
-
38049002454
-
Inhomogeneous oscillatory structures in fractional reaction-diffusion
-
Gafiychuk V and Datsko B 2008 Inhomogeneous oscillatory structures in fractional reaction-diffusion Phys. Lett. A 372 619-622
-
(2008)
Phys. Lett. A
, vol.372
, pp. 619-622
-
-
Gafiychuk, V.1
Datsko, B.2
-
27
-
-
12044252828
-
Pattern formation out of equilibrium
-
Cross M C and Hohenberg P C 1993 Pattern formation out of equilibrium Rev. Mod. Phys. 65 851-1112
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
32
-
-
40149085102
-
Inhomogeneous oscillatory solutions in fractional reaction-diffusion systems and their computer modeling
-
Gafiychuk V and Datsko B 2008 Inhomogeneous oscillatory solutions in fractional reaction-diffusion systems and their computer modeling Appl. Math. Comput. 198 251-260
-
(2008)
Appl. Math. Comput.
, vol.198
, pp. 251-260
-
-
Gafiychuk, V.1
Datsko, B.2
-
33
-
-
67249147016
-
Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equatios
-
doi:10.1016/j.chaos.2008.04.039
-
Gafiychuk V, Datsko B, Meleshko V and Blackmore D 2008 Analysis of the solutions of coupled nonlinear fractional reaction-diffusion equatios Chaos Solitons Fractals doi:10.1016/j.chaos.2008.04.039
-
(2008)
Chaos Solitons Fractals
-
-
Gafiychuk, V.1
Datsko, B.2
Meleshko, V.3
Blackmore, D.4
|