Solving linear and nonlinear fractional diffusion and wave equations by Adomian decomposition
暂无分享,去创建一个
[1] R. Gorenflo,et al. AN OPERATIONAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS WITH THE CAPUTO DERIVATIVES , 1999 .
[2] Y. Cherruault,et al. New ideas for proving convergence of decomposition methods , 1995 .
[3] W. Schneider,et al. Fractional diffusion and wave equations , 1989 .
[4] Abdul-Majid Wazwaz. A reliable technique for solving the wave equation in an infinite one-dimensional medium , 1998, Appl. Math. Comput..
[5] R. Nigmatullin. The Realization of the Generalized Transfer Equation in a Medium with Fractal Geometry , 1986, January 1.
[6] Salah M. El-Sayed,et al. A numerical solution of the Klein-Gordon equation and convergence of the decomposition method , 2004, Appl. Math. Comput..
[7] Roberto Monaco,et al. Waves and Stability in Continuous Media , 1991 .
[8] F. Mainardi. The fundamental solutions for the fractional diffusion-wave equation , 1996 .
[9] Hossein Jafari,et al. Adomian decomposition: a tool for solving a system of fractional differential equations , 2005 .
[10] Jafar Biazar,et al. Solution of wave equation by Adomian decomposition method and the restrictions of the method , 2004, Appl. Math. Comput..
[11] Jafar Biazar,et al. Solution of the system of ordinary differential equations by Adomian decomposition method , 2004, Appl. Math. Comput..
[12] Jafar Biazar,et al. Solution of a system of Volterra integral equations of the first kind by Adomian method , 2003, Appl. Math. Comput..
[13] A. El-Sayed,et al. Fractional-order diffusion-wave equation , 1996 .
[14] Jafar Biazar,et al. The decomposition method applied to systems of Fredholm integral equations of the second kind , 2004, Appl. Math. Comput..
[15] I. Podlubny. Fractional differential equations , 1998 .
[16] George Adomian,et al. Solving Frontier Problems of Physics: The Decomposition Method , 1993 .
[17] Osama L. Moustafa,et al. On the Cauchy problem for some fractional order partial differential equations , 2003 .
[18] K. Diethelm. AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER , 1997 .
[19] Nabil T. Shawagfeh,et al. Analytical approximate solutions for nonlinear fractional differential equations , 2002, Appl. Math. Comput..
[20] O. Marichev,et al. Fractional Integrals and Derivatives: Theory and Applications , 1993 .