-
1
-
-
18144408075
-
Anomalous diffusion and relaxation close to thermal equilibrium: a fractional Fokker-Planck equation approach
-
Metzler R., Barkai E., and Klafter J. Anomalous diffusion and relaxation close to thermal equilibrium: a fractional Fokker-Planck equation approach. Phys. Rev. Lett. 82 18 (1999) 3563-3567
-
(1999)
Phys. Rev. Lett.
, vol.82
, Issue.18
, pp. 3563-3567
-
-
Metzler, R.1
Barkai, E.2
Klafter, J.3
-
3
-
-
4043151477
-
The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
-
Metzler R., and Klafter J. The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics. J. Phys. A 37 (2004) R161-R208
-
(2004)
J. Phys. A
, vol.37
-
-
Metzler, R.1
Klafter, J.2
-
4
-
-
0002898176
-
Fractional calculus and continuous time finance. III. The diffusion limit. Mathematical finance (Konstanz, 2000)
-
Gorenflo R., Mainardi F., Scalas E., and Raberto M. Fractional calculus and continuous time finance. III. The diffusion limit. Mathematical finance (Konstanz, 2000). Trends Math. Birkhuser Basel (2001) 171-180
-
(2001)
Trends Math. Birkhuser Basel
, pp. 171-180
-
-
Gorenflo, R.1
Mainardi, F.2
Scalas, E.3
Raberto, M.4
-
5
-
-
0034502929
-
Fractional calculus and continuous-time finance II: the waiting-time distribution
-
Mainardi F., Raberto M., Gorenflo R., and Scalas E. Fractional calculus and continuous-time finance II: the waiting-time distribution. Physica A 287 (2000) 468-481
-
(2000)
Physica A
, vol.287
, pp. 468-481
-
-
Mainardi, F.1
Raberto, M.2
Gorenflo, R.3
Scalas, E.4
-
6
-
-
0034275979
-
Fractional calculus and continuous-time finance
-
Scalas E., Gorenflo R., and Mainardi F. Fractional calculus and continuous-time finance. Physica A 284 (2000) 376-384
-
(2000)
Physica A
, vol.284
, pp. 376-384
-
-
Scalas, E.1
Gorenflo, R.2
Mainardi, F.3
-
7
-
-
0036949980
-
Waiting-times and returns in high-frequency financial data: an empirical study
-
Raberto M., Scalas E., and Mainardi F. Waiting-times and returns in high-frequency financial data: an empirical study. Physica A 314 (2002) 749-755
-
(2002)
Physica A
, vol.314
, pp. 749-755
-
-
Raberto, M.1
Scalas, E.2
Mainardi, F.3
-
10
-
-
0035069924
-
Fractional dispersion, Lévy motions, and the MADE tracer tests
-
Benson D.A., Schumer R., Meerschaert M.M., and Wheatcraft S.W. Fractional dispersion, Lévy motions, and the MADE tracer tests. Transp. Porous Media 42 (2001) 211-240
-
(2001)
Transp. Porous Media
, vol.42
, pp. 211-240
-
-
Benson, D.A.1
Schumer, R.2
Meerschaert, M.M.3
Wheatcraft, S.W.4
-
12
-
-
0037490225
-
Multiscaling fractional advection-dispersion equations and their solutions
-
Schumer R., Benson D.A., Meerschaert M.M., and Baeumer B. Multiscaling fractional advection-dispersion equations and their solutions. Water Resour. Res. 39 (2003) 1022-1032
-
(2003)
Water Resour. Res.
, vol.39
, pp. 1022-1032
-
-
Schumer, R.1
Benson, D.A.2
Meerschaert, M.M.3
Baeumer, B.4
-
13
-
-
0001983732
-
Fractional calculus: some basic problems in continuum and statistical mechanics
-
Carpinteri A., and Mainardi F. (Eds), Springer-Verlag, Wien New York
-
Mainardi F. Fractional calculus: some basic problems in continuum and statistical mechanics. In: Carpinteri A., and Mainardi F. (Eds). Fractals and Fractional Calculus in Continuum Mechanics (1997), Springer-Verlag, Wien New York 291-348
-
(1997)
Fractals and Fractional Calculus in Continuum Mechanics
, pp. 291-348
-
-
Mainardi, F.1
-
14
-
-
0037457788
-
The weight functions as solutions of the time-fractional diffusion equation
-
Mainardi F., and Pagnini G. The weight functions as solutions of the time-fractional diffusion equation. Appl. Math. Comput. 141 (2003) 51-62
-
(2003)
Appl. Math. Comput.
, vol.141
, pp. 51-62
-
-
Mainardi, F.1
Pagnini, G.2
-
15
-
-
0036650559
-
Solution for a fractional diffusion-wave equation defined in a bounded domain
-
Agrawal O.P. Solution for a fractional diffusion-wave equation defined in a bounded domain. Nonlinear Dynam. 29 (2002) 145-155
-
(2002)
Nonlinear Dynam.
, vol.29
, pp. 145-155
-
-
Agrawal, O.P.1
-
16
-
-
0001553919
-
Fractional diffusion and wave equations
-
Schneider W.R., and Wyss W. Fractional diffusion and wave equations. J. Math. Phys. 30 (1989) 134-144
-
(1989)
J. Math. Phys.
, vol.30
, pp. 134-144
-
-
Schneider, W.R.1
Wyss, W.2
-
17
-
-
25444463578
-
Finite difference methods for two-dimensional fractional dispersion equation
-
Meerschaert M.M., Scheffler H., and Tadjeran C. Finite difference methods for two-dimensional fractional dispersion equation. J. Comput. Phys. 211 (2006) 249-261
-
(2006)
J. Comput. Phys.
, vol.211
, pp. 249-261
-
-
Meerschaert, M.M.1
Scheffler, H.2
Tadjeran, C.3
-
18
-
-
31744438550
-
A second-order accurate numerical approximation for the fractional diffusion equation
-
Tadjeran C., Meerschaert M.M., and Scheffler H. A second-order accurate numerical approximation for the fractional diffusion equation. J. Comput. Phys. 213 (2006) 205-213
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 205-213
-
-
Tadjeran, C.1
Meerschaert, M.M.2
Scheffler, H.3
-
21
-
-
0002132894
-
An analytical solution of the stochastic Navier-Stokes system
-
Adomian G. An analytical solution of the stochastic Navier-Stokes system. Foundations of Physics 21 7 (1991) 831-843
-
(1991)
Foundations of Physics
, vol.21
, Issue.7
, pp. 831-843
-
-
Adomian, G.1
-
22
-
-
17444425874
-
Linear and nonlinear Schrödinger equations
-
Adomian G., and Rach R. Linear and nonlinear Schrödinger equations. Foundations of Physics 21 (1991) 983-991
-
(1991)
Foundations of Physics
, vol.21
, pp. 983-991
-
-
Adomian, G.1
Rach, R.2
-
23
-
-
0000244996
-
Solution of Physical Problems by Decomposition
-
Adomian G. Solution of Physical Problems by Decomposition. Comput. Math. Appl. 27 9/10 (1994) 145-154
-
(1994)
Comput. Math. Appl.
, vol.27
, Issue.9-10
, pp. 145-154
-
-
Adomian, G.1
-
24
-
-
0001422946
-
Solutions of nonlinear P.D.E
-
Adomian G. Solutions of nonlinear P.D.E. Appl. Math. Lett. 11 3 (1998) 121-123
-
(1998)
Appl. Math. Lett.
, vol.11
, Issue.3
, pp. 121-123
-
-
Adomian, G.1
-
25
-
-
0033241451
-
The decomposition method applied to the cauchy problem
-
Abbaoui K., and Cherruault Y. The decomposition method applied to the cauchy problem. Kybernetes 28 (1999) 103-108
-
(1999)
Kybernetes
, vol.28
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
26
-
-
0037107899
-
A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations
-
Kaya D., and Yokus A. A numerical comparison of partial solutions in the decomposition method for linear and nonlinear partial differential equations. Math. Comput. Simul. 60 6 (2002) 507-512
-
(2002)
Math. Comput. Simul.
, vol.60
, Issue.6
, pp. 507-512
-
-
Kaya, D.1
Yokus, A.2
-
27
-
-
0040313517
-
A reliable modification of Adomian decomposition method
-
Wazwaz A. A reliable modification of Adomian decomposition method. Appl. Math. Comput. 102 1 (1999) 77-86
-
(1999)
Appl. Math. Comput.
, vol.102
, Issue.1
, pp. 77-86
-
-
Wazwaz, A.1
-
28
-
-
0037424857
-
On a generalized fifth order KdV equations
-
Kaya D., and El-Sayed S.M. On a generalized fifth order KdV equations. Phys. Lett. A 310 1 (2003) 44-51
-
(2003)
Phys. Lett. A
, vol.310
, Issue.1
, pp. 44-51
-
-
Kaya, D.1
El-Sayed, S.M.2
-
29
-
-
0037411749
-
An application of the decomposition method for the generalized KdV and RLW equations
-
Kaya D., and El-Sayed S.M. An application of the decomposition method for the generalized KdV and RLW equations. Chaos Solitons Fractals 17 5 (2003) 869-877
-
(2003)
Chaos Solitons Fractals
, vol.17
, Issue.5
, pp. 869-877
-
-
Kaya, D.1
El-Sayed, S.M.2
-
30
-
-
0038112095
-
An explicit and numerical solutions of some fifth-order KdV equation by decomposition method
-
Kaya D. An explicit and numerical solutions of some fifth-order KdV equation by decomposition method. Appl. Math. Comput. 144 2-3 (2003) 353-363
-
(2003)
Appl. Math. Comput.
, vol.144
, Issue.2-3
, pp. 353-363
-
-
Kaya, D.1
-
31
-
-
0346497913
-
A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation
-
Kaya D. A numerical simulation of solitary-wave solutions of the generalized regularized long-wave equation. Appl. Math. Comput. 149 3 (2004) 833-841
-
(2004)
Appl. Math. Comput.
, vol.149
, Issue.3
, pp. 833-841
-
-
Kaya, D.1
-
32
-
-
17444419514
-
The Adomian method applied to some extraordinary differential equations
-
George A.J., and Chakrabarti A. The Adomian method applied to some extraordinary differential equations. Appl. Math. Lett. 8 3 (1995) 91-97
-
(1995)
Appl. Math. Lett.
, vol.8
, Issue.3
, pp. 91-97
-
-
George, A.J.1
Chakrabarti, A.2
-
33
-
-
0012820367
-
Solutions of non-integer order differential equations via the Adomian decomposition method
-
Arora H.L., and Abdelwahid F.I. Solutions of non-integer order differential equations via the Adomian decomposition method. Appl. Math. Lett. 6 1 (1993) 21-23
-
(1993)
Appl. Math. Lett.
, vol.6
, Issue.1
, pp. 21-23
-
-
Arora, H.L.1
Abdelwahid, F.I.2
-
34
-
-
0009867678
-
The decompostion method for fractional differential equations
-
Shawagfeh N.T. The decompostion method for fractional differential equations. J. Frac. Calc. 16 (1999) 27-33
-
(1999)
J. Frac. Calc.
, vol.16
, pp. 27-33
-
-
Shawagfeh, N.T.1
-
35
-
-
0037174280
-
Analytical approximate solutions for nonlinear fractional differential equations
-
Shawagfeh N.T. Analytical approximate solutions for nonlinear fractional differential equations. Appl. Math. Comput. 131 (2002) 517-529
-
(2002)
Appl. Math. Comput.
, vol.131
, pp. 517-529
-
-
Shawagfeh, N.T.1
-
36
-
-
17444386836
-
Solution of an extraordinary differential equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. Solution of an extraordinary differential equation by Adomian decomposition method. J. Appl. Math. 4 (2004) 331-338
-
(2004)
J. Appl. Math.
, vol.4
, pp. 331-338
-
-
Saha Ray, S.1
Bera, R.K.2
-
37
-
-
17444364074
-
Analytical solution of a dynamic system containing fractional derivative of order 1/2 by Adomian decomposition method
-
Saha Ray S., and Bera R.K. Analytical solution of a dynamic system containing fractional derivative of order 1/2 by Adomian decomposition method. Trans. ASME J. Appl. Mech. 72 2 (2005) 290-295
-
(2005)
Trans. ASME J. Appl. Mech.
, vol.72
, Issue.2
, pp. 290-295
-
-
Saha Ray, S.1
Bera, R.K.2
-
38
-
-
24944478244
-
An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method. Appl. Math. Comput. 167 1 (2005) 561-571
-
(2005)
Appl. Math. Comput.
, vol.167
, Issue.1
, pp. 561-571
-
-
Saha Ray, S.1
Bera, R.K.2
-
39
-
-
25644439033
-
Analytical solution of the Bagley Torvik equation by Adomian decomposition method
-
Saha Ray S., and Bera R.K. Analytical solution of the Bagley Torvik equation by Adomian decomposition method. Appl. Math. Comput. 168 1 (2005) 398-410
-
(2005)
Appl. Math. Comput.
, vol.168
, Issue.1
, pp. 398-410
-
-
Saha Ray, S.1
Bera, R.K.2
-
42
-
-
84970868898
-
Convergence of Adomian's method
-
Cherruault Y. Convergence of Adomian's method. Kybernetes 18 (1989) 31-38
-
(1989)
Kybernetes
, vol.18
, pp. 31-38
-
-
Cherruault, Y.1
-
43
-
-
43949159125
-
Convergence of Adomian's method applied to differential equations
-
Abbaoui K., and Cherruault Y. Convergence of Adomian's method applied to differential equations. Comput.Math. Appl. 28 5 (1994) 103-109
-
(1994)
Comput.Math. Appl.
, vol.28
, Issue.5
, pp. 103-109
-
-
Abbaoui, K.1
Cherruault, Y.2
-
44
-
-
0000487641
-
New ideas for proving convergence of decomposition methods
-
Abbaoui K., and Cherruault Y. New ideas for proving convergence of decomposition methods. Comput. Math. Appl. 29 (1995) 103-108
-
(1995)
Comput. Math. Appl.
, vol.29
, pp. 103-108
-
-
Abbaoui, K.1
Cherruault, Y.2
-
45
-
-
0033240054
-
New results of convergence of Adomian's method
-
Himoun N., Abbaoui K., and Cherruault Y. New results of convergence of Adomian's method. Kybernetes 28 4-5 (1999) 423-429
-
(1999)
Kybernetes
, vol.28
, Issue.4-5
, pp. 423-429
-
-
Himoun, N.1
Abbaoui, K.2
Cherruault, Y.3
-
46
-
-
0002095007
-
Noise terms in decomposition solution series
-
Adomian G., and Rach R. Noise terms in decomposition solution series. Comput. Math. Appl. 24 11 (1992) 61-64
-
(1992)
Comput. Math. Appl.
, vol.24
, Issue.11
, pp. 61-64
-
-
Adomian, G.1
Rach, R.2
-
47
-
-
23644437348
-
Necessary conditions for the appearance of noise terms in decomposition solution series
-
Wazwaz A.M. Necessary conditions for the appearance of noise terms in decomposition solution series. Appl. Math. Comput. 81 2-3 (1997) 265-274
-
(1997)
Appl. Math. Comput.
, vol.81
, Issue.2-3
, pp. 265-274
-
-
Wazwaz, A.M.1
|