-
1
-
-
70350564868
-
The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics
-
Z. Odibat, and Shaher Momani The variational iteration method: an efficient scheme for handling fractional partial differential equations in fluid mechanics Computers and Mathematics with Applications 58 2009 2199 2208
-
(2009)
Computers and Mathematics with Applications
, vol.58
, pp. 2199-2208
-
-
Odibat, Z.1
Momani, S.2
-
2
-
-
71549128004
-
Existence and uniqueness of mild solutions to impulsive fractional differential equations
-
G.M. Mophou Existence and uniqueness of mild solutions to impulsive fractional differential equations Nonlinear Analysis: Theory, Methods & Applications 72 2010 1604 1615
-
(2010)
Nonlinear Analysis: Theory, Methods & Applications
, vol.72
, pp. 1604-1615
-
-
Mophou, G.M.1
-
3
-
-
33747286487
-
The time fractional diffusion and fractional advection-dispersion equation
-
F. Huang, and F. Liu The time fractional diffusion and fractional advection-dispersion equation ANZIAM 46 2005 1 14
-
(2005)
ANZIAM
, vol.46
, pp. 1-14
-
-
Huang, F.1
Liu, F.2
-
4
-
-
19944370478
-
The fundamental solution of the space-time fractional advection-dispersion equation
-
F. Huang, and F. Liu The fundamental solution of the space-time fractional advection-dispersion equation Journal of Computational and Applied Mathematics 18 2005 21 36
-
(2005)
Journal of Computational and Applied Mathematics
, vol.18
, pp. 21-36
-
-
Huang, F.1
Liu, F.2
-
6
-
-
1942542248
-
Cauchy problem for fractional diffusion equations
-
DOI 10.1016/j.jde.2003.12.002
-
S.D. Eidelman, and A.N. Kochubei Cauchy problem for fractional diffusion equations Journal of Differential Equations 199 2004 211 255 (Pubitemid 38516155)
-
(2004)
Journal of Differential Equations
, vol.199
, Issue.2
, pp. 211-255
-
-
Eidelman, S.D.1
Kochubei, A.N.2
-
7
-
-
45349109022
-
An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space
-
C. Xue, J. Nie, and W. Tan An exact solution of start-up flow for the fractional generalized Burgers' fluid in a porous half-space Nonlinear Analysis: Theory, Methods & Applications 69 2008 2086 2094
-
(2008)
Nonlinear Analysis: Theory, Methods & Applications
, vol.69
, pp. 2086-2094
-
-
Xue, C.1
Nie, J.2
Tan, W.3
-
8
-
-
82255175256
-
Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie's fractional derivative
-
S. Guo, L. Mei, Y. Fang, and Z. Qiu Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie's fractional derivative Physics Letters A 376 2012 158 164
-
(2012)
Physics Letters A
, vol.376
, pp. 158-164
-
-
Guo, S.1
Mei, L.2
Fang, Y.3
Qiu, Z.4
-
9
-
-
84855193408
-
The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics
-
S. Guo, L. Mei, Y. Ling, and Y. Sun The improved fractional sub-equation method and its applications to the space-time fractional differential equations in fluid mechanics Physics Letters A 376 2012 407 411
-
(2012)
Physics Letters A
, vol.376
, pp. 407-411
-
-
Guo, S.1
Mei, L.2
Ling, Y.3
Sun, Y.4
-
11
-
-
84863706567
-
Variational homotopy perturbation method for solving fractional initial boundary value problems
-
10.1155/2012/727031
-
Y. Liu Variational homotopy perturbation method for solving fractional initial boundary value problems Abstract and Applied Analysis 2012 2012 10.1155/2012/727031
-
(2012)
Abstract and Applied Analysis
, vol.2012
-
-
Liu, Y.1
-
12
-
-
84950955560
-
Stochastic differential equations with fractional Brownian motion input
-
G. Jumarie Stochastic differential equations with fractional Brownian motion input International Journal of Systems Science 6 1993 1113 1132
-
(1993)
International Journal of Systems Science
, vol.6
, pp. 1113-1132
-
-
Jumarie, G.1
-
13
-
-
57049186538
-
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions
-
G. Jumarie Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions Applied Mathematics Letters 22 2009 378 385
-
(2009)
Applied Mathematics Letters
, vol.22
, pp. 378-385
-
-
Jumarie, G.1
-
14
-
-
70349212072
-
Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative
-
G. Jumarie Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative Applied Mathematics Letters 22 2009 1659 1664
-
(2009)
Applied Mathematics Letters
, vol.22
, pp. 1659-1664
-
-
Jumarie, G.1
-
15
-
-
58149263050
-
Analytical solution of a fractional diffusion equation by variational iteration method
-
S. Das Analytical solution of a fractional diffusion equation by variational iteration method Computers and Mathematics with Applications 57 2009 483 487
-
(2009)
Computers and Mathematics with Applications
, vol.57
, pp. 483-487
-
-
Das, S.1
-
16
-
-
33344463928
-
Analytical solution of a fractional diffusion equation by Adomian decomposition method
-
DOI 10.1016/j.amc.2005.04.082, PII S0096300305004595
-
S. Saha Ray, and R.K. Bera Analytical solution of a fractional diffusion equation by Adomian decomposition method Applied Mathematics and Computation 174 2006 329 336 (Pubitemid 43288955)
-
(2006)
Applied Mathematics and Computation
, vol.174
, Issue.1
, pp. 329-336
-
-
Saha Ray, S.1
Bera, R.K.2
-
18
-
-
34247608235
-
The variational iteration method for solving two forms of Blasius equation on a half-infinite domain
-
A.M. Wazwaz The variational iteration method for solving two forms of Blasius equation on a half-infinite domain Applied Mathematics and Computation 188 2007 485 491
-
(2007)
Applied Mathematics and Computation
, vol.188
, pp. 485-491
-
-
Wazwaz, A.M.1
-
20
-
-
0033702384
-
A coupling method of a homotopy technique and a perturbation technique for non-linear problems
-
J.H. He A coupling method of a homotopy technique and a perturbation technique for non-linear problems International Journal of Non-linear Mechanics 35 2000 37 43
-
(2000)
International Journal of Non-linear Mechanics
, vol.35
, pp. 37-43
-
-
He, J.H.1
-
21
-
-
84977255207
-
Linear model of dissipation whose Q is almost frequency dependent II
-
M. Caputo Linear model of dissipation whose Q is almost frequency dependent II Geophysical Journal of the Royal Astronomical Society 13 1967 529 539
-
(1967)
Geophysical Journal of the Royal Astronomical Society
, vol.13
, pp. 529-539
-
-
Caputo, M.1
-
22
-
-
77953478991
-
Fractional variational iteration method and its application
-
G. Wu, and E.W.M. Lee Fractional variational iteration method and its application Physics Letters A 374 2010 2506 2509
-
(2010)
Physics Letters A
, vol.374
, pp. 2506-2509
-
-
Wu, G.1
Lee, E.W.M.2
-
23
-
-
33745082228
-
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations
-
DOI 10.1016/j.mcm.2005.10.003, PII S0895717705005303
-
G. Jumarie New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations Mathematical and Computer Modelling 44 2006 231 254 (Pubitemid 43880369)
-
(2006)
Mathematical and Computer Modelling
, vol.44
, Issue.3-4
, pp. 231-254
-
-
Jumarie, G.1
-
25
-
-
24144494623
-
An explicit and numerical solutions of the fractional KdV equation
-
DOI 10.1016/j.matcom.2005.05.001, PII S0378475405001643
-
S. Momani An explicit and numerical solutions of the fractional KdV equation Mathematics and Computers in Simulation 70 2005 110 118 (Pubitemid 41230033)
-
(2005)
Mathematics and Computers in Simulation
, vol.70
, Issue.2
, pp. 110-118
-
-
Momani, S.1
-
26
-
-
33744981446
-
Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method
-
DOI 10.1016/j.amc.2005.11.025, PII S0096300305009276
-
S. Momani, and Z. Odibat Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method Applied Mathematics and Computation 177 2006 488 494 (Pubitemid 43866876)
-
(2006)
Applied Mathematics and Computation
, vol.177
, Issue.2
, pp. 488-494
-
-
Momani, S.1
Odibat, Z.2
-
27
-
-
70350724756
-
Exact solutions for a generalized nonlinear fractional Fokker-Planck equation
-
J. Ma, and Y. Liu Exact solutions for a generalized nonlinear fractional Fokker-Planck equation Nonlinear Analysis: Real World Applications 11 2010 515 521
-
(2010)
Nonlinear Analysis: Real World Applications
, vol.11
, pp. 515-521
-
-
Ma, J.1
Liu, Y.2
-
28
-
-
33750842129
-
New application of Adomian decomposition method on Fokker-Planck equation
-
DOI 10.1016/j.amc.2006.02.048, PII S0096300306003389
-
A. Elhanbaly, and M.A. Abdou New application of Adomian decomposition method on Fokker-Planck equation Applied Mathematics and Computation 182 2006 301 312 (Pubitemid 44716291)
-
(2006)
Applied Mathematics and Computation
, vol.182
, Issue.1
, pp. 301-312
-
-
Elhanbaly, A.1
Abdou, M.A.2
-
29
-
-
62949138528
-
An improved variational iteration method for solving coupled KdV and Boussinesq-like B(m, n) equations
-
S.A. El-Wakil, Essam M. Abulwafa, and M.A. Abdou An improved variational iteration method for solving coupled KdV and Boussinesq-like B(m, n) equations Chaos Solitons & Fractals 39 2009 1324 1334
-
(2009)
Chaos Solitons & Fractals
, vol.39
, pp. 1324-1334
-
-
El-Wakil, S.A.1
Abulwafa, E.M.2
Abdou, M.A.3
-
30
-
-
70350570458
-
Improvement of He's variational iteration method for solving systems of differential equations
-
M. Tatari, and M. Dehghan Improvement of He's variational iteration method for solving systems of differential equations Computers & Mathematics with Applications 58 2009 2160 2166
-
(2009)
Computers & Mathematics with Applications
, vol.58
, pp. 2160-2166
-
-
Tatari, M.1
Dehghan, M.2
-
31
-
-
34547806754
-
A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method
-
DOI 10.1016/j.amc.2007.02.079, PII S0096300307002469
-
A. Golbabai, and M. Javidi A third-order Newton type method for nonlinear equations based on modified homotopy perturbation method Applied Mathematics and Computation 191 2007 199 205 (Pubitemid 47241167)
-
(2007)
Applied Mathematics and Computation
, vol.191
, Issue.1
, pp. 199-205
-
-
Golbabai, A.1
Javidi, M.2
-
32
-
-
31144433788
-
Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method
-
DOI 10.1016/j.amc.2005.02.015, PII S0096300305002134
-
S. Abbasbandy Modified homotopy perturbation method for nonlinear equations and comparison with Adomian decomposition method Applied Mathematics and Computation 172 2006 431 438 (Pubitemid 43132852)
-
(2006)
Applied Mathematics and Computation
, vol.172
, Issue.1
, pp. 431-438
-
-
Abbasbandy, S.1
|