A novel method for nonlinear fractional partial differential equations: Combination of DTM and generalized Taylor's formula
暂无分享,去创建一个
[1] M. Meerschaert,et al. Finite difference approximations for two-sided space-fractional partial differential equations , 2006 .
[2] Mihály Kovács,et al. Fractional Reproduction-Dispersal Equations and Heavy Tail Dispersal Kernels , 2007, Bulletin of mathematical biology.
[3] W. Schneider,et al. Fractional diffusion and wave equations , 1989 .
[4] Shaher Momani,et al. Homotopy perturbation method for nonlinear partial differential equations of fractional order , 2007 .
[5] Shaher Momani,et al. A reliable treatment of homotopy perturbation method for Klein–Gordon equations , 2007 .
[6] Necdet Bildik,et al. Solution of different type of the partial differential equation by differential transform method and Adomian's decomposition method , 2006, Appl. Math. Comput..
[7] I. Podlubny. Fractional differential equations , 1998 .
[8] H. R. Hicks,et al. Numerical methods for the solution of partial difierential equations of fractional order , 2003 .
[9] S. Momani,et al. Analytical approach to linear fractional partial differential equations arising in fluid mechanics , 2006 .
[10] V E Lynch,et al. Front dynamics in reaction-diffusion systems with Levy flights: a fractional diffusion approach. , 2002, Physical review letters.
[11] Shaher Momani,et al. Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation , 2007 .
[12] Zaid M. Odibat,et al. Generalized Taylor's formula , 2007, Appl. Math. Comput..
[13] Shaher Momani,et al. An explicit and numerical solutions of the fractional KdV equation , 2005, Math. Comput. Simul..
[14] Shaher Momani,et al. Non-perturbative analytical solutions of the space- and time-fractional Burgers equations , 2006 .
[15] S. Momani,et al. Numerical methods for nonlinear partial differential equations of fractional order , 2008 .
[16] Shaher Momani,et al. A generalized differential transform method for linear partial differential equations of fractional order , 2008, Appl. Math. Lett..
[17] Shaher Momani,et al. Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations , 2007, Comput. Math. Appl..
[18] Kamel Al-khaled,et al. An approximate solution for a fractional diffusion-wave equation using the decomposition method , 2005, Appl. Math. Comput..
[19] Mark M. Meerschaert,et al. A second-order accurate numerical method for the two-dimensional fractional diffusion equation , 2007, J. Comput. Phys..
[20] David A. Benson,et al. On Using Random Walks to Solve the Space-Fractional Advection-Dispersion Equations , 2006 .
[21] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[22] Mark M. Meerschaert,et al. STOCHASTIC SOLUTIONS FOR FRACTIONAL CAUCHY PROBLEMS , 2003 .
[23] Shaher Momani,et al. Analytic and approximate solutions of the space- and time-fractional telegraph equations , 2005, Appl. Math. Comput..
[24] I. H. Abdel-Halim Hassan,et al. Comparison differential transformation technique with Adomian decomposition method for linear and nonlinear initial value problems , 2008 .
[25] Shaher Momani,et al. Analytical solution of a time-fractional Navier-Stokes equation by Adomian decomposition method , 2006, Appl. Math. Comput..
[26] Ji-Huan He. Approximate analytical solution for seepage flow with fractional derivatives in porous media , 1998 .
[27] Rina Schumer,et al. Fractal mobile/immobile solute transport , 2003 .
[28] Shaher Momani,et al. Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method , 2005, Appl. Math. Comput..
[29] F. Mainardi,et al. The fundamental solution of the space-time fractional diffusion equation , 2007, cond-mat/0702419.
[30] Shaher Momani,et al. Approximate solutions for boundary value problems of time-fractional wave equation , 2006, Appl. Math. Comput..