-
1
-
-
0003473073
-
-
Ph. D. thesis, University of Nevada, Reno, NV
-
D. A. Benson, "The fractional advection-dispersion equation", Ph. D. thesis, University of Nevada, Reno, NV, 1998.
-
(1998)
The Fractional Advection-dispersion Equation
-
-
Benson, D.A.1
-
5
-
-
0000103589
-
Wright function as scale-invariant solutions of the diffusion-wave equation"
-
R. Gorenflo, Yu. Luchko and F. Mainardi, "Wright function as scale-invariant solutions of the diffusion-wave equation", J. Comput. Appl. Math. 118 (2000) 175-191.
-
(2000)
J. Comput. Appl. Math.
, vol.118
, pp. 175-191
-
-
Gorenflo, R.1
Luchko, Yu.2
Mainardi, F.3
-
6
-
-
0000361678
-
Random walk models for space-fractional diffusion processes
-
R. Gorenflo and F. Mainardi, "Random walk models for space-fractional diffusion processes", Fract. Calc. Appl. Anal. 1 (1998) 167-191.
-
(1998)
Fract. Calc. Appl. Anal.
, vol.1
, pp. 167-191
-
-
Gorenflo, R.1
Mainardi, F.2
-
7
-
-
0345725412
-
Approximation of Lévy-Feller diffusion by random walk
-
R. Gorenflo and F. Mainardi, "Approximation of Lévy-Feller diffusion by random walk", Z Anal. Anwendungen 18 (1999) 231-246.
-
(1999)
Z Anal. Anwendungen
, vol.18
, pp. 231-246
-
-
Gorenflo, R.1
Mainardi, F.2
-
8
-
-
0036306866
-
Existence of Turing instabilities in a two-species fractional reaction-diffusion system
-
B. I. Henry and S. L. Wearne, "Existence of Turing instabilities in a two-species fractional reaction-diffusion system", SIAM J. Appl. Math. 62 (2002) 870-887.
-
(2002)
SIAM J. Appl. Math.
, vol.62
, pp. 870-887
-
-
Henry, B.I.1
Wearne, S.L.2
-
10
-
-
33751545053
-
Fractional high order methods for the nonlinear fractional ordinary differential equation
-
R. Lin and F. Liu, "Fractional high order methods for the nonlinear fractional ordinary differential equation", Nonlinear Anal. 66 (2007) 856-869.
-
(2007)
Nonlinear Anal.
, vol.66
, pp. 856-869
-
-
Lin, R.1
Liu, F.2
-
11
-
-
70549103165
-
Numerical solution of the fractional-order advection-dispersion equation
-
Perth, Australia
-
F. Liu, V. Ann and I. Turner, "Numerical solution of the fractional-order advection-dispersion equation", Proc. Int. Conf on Boundary and Interior Layers - Computational and Asymptotic Methods, Perth, Australia, 2002, 159-164.
-
(2002)
Proc. Int. Conf on Boundary and Interior Layers - Computational and Asymptotic Methods
, pp. 159-164
-
-
Liu, F.1
Ann, V.2
Turner, I.3
-
12
-
-
1542425102
-
Numerical solution of space-fractional Fokker-Planck equation
-
F. Liu, V. Ann and I. Turner, "Numerical solution of space-fractional Fokker-Planck equation", J. Comput. Appl. Math. 166 (2004) 209-219.
-
(2004)
J. Comput. Appl. Math.
, vol.166
, pp. 209-219
-
-
Liu, F.1
Ann, V.2
Turner, I.3
-
13
-
-
0348230399
-
Time-fractional advection-dispersion equation
-
F. Liu, V. Ann, I. Turner and P. Zhuang, "Time-fractional advection-dispersion equation", J. Appl. Math. Comput. 13 (2003) 233-246.
-
(2003)
J. Appl. Math. Comput.
, vol.13
, pp. 233-246
-
-
Liu, F.1
Ann, V.2
Turner, I.3
Zhuang, P.4
-
14
-
-
33751548431
-
Numerical simulation for solute transport in fractal porous media
-
F. Liu, V. Anh, I. Turner and P. Zhuang, "Numerical simulation for solute transport in fractal porous media", ANZIAM J. 45(E) (2004) 461-173.
-
(2004)
ANZIAM J.
, vol.45
, Issue.E
, pp. 461-1173
-
-
Liu, F.1
Anh, V.2
Turner, I.3
Zhuang, P.4
-
15
-
-
0345448323
-
Numerical methods for the solution of partial differential equations of fractional order
-
DOI 10.1016/j.jcp.2003.07.008
-
V E. Lynch, B. A. Carreras, D. del Castillo-Negrete, K. M. Ferreira-Mejias and H. R. Hicks, "Numerical methods for the solution of partial differential equations of fractional order", J. Comput. Phys. 192 (2003) 406-421. (Pubitemid 37445638)
-
(2003)
Journal of Computational Physics
, vol.192
, Issue.2
, pp. 406-421
-
-
Lynch, V.E.1
Carreras, B.A.2
Del-Castillo-Negrete, D.3
Ferreira-Mejias, K.M.4
Hicks, H.R.5
-
16
-
-
30244460855
-
The fundamental solutions for the fractional diffus ion-wave equation
-
F. Mainardi, "The fundamental solutions for the fractional diffus ion-wave equation", Appl. Math. 9 (1996) 23-28.
-
(1996)
Appl. Math.
, vol.9
, pp. 23-28
-
-
Mainardi, F.1
-
17
-
-
0001407424
-
The fundamental solution of the space-time-fractional diffusion equation
-
F. Mainardi, Yu. Luchko and G. Pagnini, "The fundamental solution of the space-time-fractional diffusion equation", Fract. Calc. Appl. Anal. 4 (2001) 153-192.
-
(2001)
Fract. Calc. Appl. Anal.
, vol.4
, pp. 153-192
-
-
Mainardi, F.1
Luchko, Yu.2
Pagnini, G.3
-
18
-
-
28044468843
-
Finite difference approximations for two-sided spacefractional partial differential equations
-
M. M. Meerschaert and C. Tadjeran, "Finite difference approximations for two-sided spacefractional partial differential equations", Appl. Numer. Math. 56 (2006) 80-90.
-
(2006)
Appl. Numer. Math.
, vol.56
, pp. 80-90
-
-
Meerschaert, M.M.1
Tadjeran, C.2
-
20
-
-
0003598080
-
-
Gordon and Breach, Newark, NJ
-
S. G. Samko, A. A. Kilbas and O. I. Marichev, Fractional integrals and derivatives: theory and applications (Gordon and Breach, Newark, NJ, 1993).
-
(1993)
Fractional Integrals and Derivatives: Theory and Applications
-
-
Samko, S.G.1
Kilbas, A.A.2
Marichev, O.I.3
-
21
-
-
0034275979
-
Fractional calculus and continuous-time finance
-
E. Scalas, R. Gorenflo and F. Mainardi, "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
-
22
-
-
0035130739
-
Eulerian derivation of the fractional advection-dispersion equation
-
DOI 10.1016/S0169-7722(00)00170-4, PII S0169772200001704
-
R. Schumer and D. A. Benson, "Eulerian derivative of the fractional advection-dispersion equation", J. Contaminants (2001) 69-88. (Pubitemid 32141059)
-
(2001)
Journal of Contaminant Hydrology
, vol.48
, Issue.1-2
, pp. 69-88
-
-
Schumer, R.1
Benson, D.A.2
Meerschaert, M.M.3
Wheatcraft, S.W.4
-
23
-
-
70549107817
-
Error analysis of an explicit finite difference approximation for the space-fractional diffusion equation with insulated ends
-
S. Shen and F. Liu, "Error analysis of an explicit finite difference approximation for the space-fractional diffusion equation with insulated ends", ANZIAM J. 46 (2005) 871-887.
-
(2005)
ANZIAM J.
, vol.46
, pp. 871-887
-
-
Shen, S.1
Liu, F.2
-
25
-
-
0012721918
-
The fractional Black-Scholes equation
-
W. Wyss, "The fractional Black-Scholes equation", Fract. Calc. Appl. Anal. 3 (2000) 51-61.
-
(2000)
Fract. Calc. Appl. Anal.
, vol.3
, pp. 51-61
-
-
Wyss, W.1
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