Solving a multi-order fractional differential equation using adomian decomposition
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Abboui, 1995, New ideas for proving convergence of decomposition methods, Comput. Appl. Math., 29, 103, 10.1016/0898-1221(95)00022-Q
Adomian, 1994
Adomian, 1988, A review of the decomposition method in applied mathematics, J. Math. Anal. Appl., 135, 501, 10.1016/0022-247X(88)90170-9
Babolian, 2004, The decomposition method applied to systems of Fredholm integral equations of the second kind, Appl. Math. Comput., 148, 443, 10.1016/S0096-3003(02)00859-7
Biazar, 2003, Solution of Volterra integral equations of the first kind by Adomian method, Appl. Math. Comput., 139, 249, 10.1016/S0096-3003(02)00173-X
Biazar, 2004, Solution of ordinary differential equations by Adomian decomposition method, Appl. Math. Comput., 147, 713, 10.1016/S0096-3003(02)00806-8
Daftardar-Gejji, 2005, Adomian decomposition: a tool for solving a system of fractional differential equations, J. Math. Anal. Appl., 301, 508, 10.1016/j.jmaa.2004.07.039
Diethelm, 1997, An algorithm for the numerical solution of differential equations of fractional order, Electron. Trans. Numer. Anal., 5, 1
Diethelm, 2002, Numerical solution of the Bagley–Torvik equation, BIT, 42, 490, 10.1023/A:1021973025166
Diethelm, 2004, Multi-order fractional differential equations and their numerical solution, Appl. Math. Comput., 154, 621, 10.1016/S0096-3003(03)00739-2
Edwards, 2002, The numerical solution of linear multi-term fractional differential equations: systems of equations, J. Comput. Appl. Math., 148, 401, 10.1016/S0377-0427(02)00558-7
Jafari, 2006, Solving system of nonlinear fractional differential equations using Adomian decomposition, J. Comput. Appl. Math., 196, 644, 10.1016/j.cam.2005.10.017
Jafari, 2006, Solving linear and non–linear fractional diffusion and wave equations by Adomian decomposition, Appl. Math. Comput., 180, 488, 10.1016/j.amc.2005.12.031
Luchko, 1999, An operational method for solving fractional differential equations with the Caputo derivatives, Acta Math. Vietnamica, 24, 207
Podlubny, 1999
Samko, 1993
Shawagfeh, 2002, Analytical approximate solutions for nonlinear fractional differential equations, Appl. Math. Comput., 131, 517, 10.1016/S0096-3003(01)00167-9