Khaled A. Gepreel, "Adomian Decomposition Method to Find the Approximate Solutions for the Fractional PDEs," WSEAS Transactions on Mathematics, vol. 11, pp. -, 2012, DOI:
Khaled A. Gepreel. Adomian Decomposition Method to Find the Approximate Solutions for the Fractional PDEs.
WSEAS Transactions on Mathematics. 2012;11:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 11, 2012
Adomian Decomposition Method to Find the Approximate Solutions for the Fractional PDEs
Author:
Abstract: By introducing the fractional derivatives in the sense of caputo, we use the Adomian decomposition method to construct the approximate solutions for some fractional partial differential equations with time and space fractional derivatives via the time and space fractional derivatives wave equation, the time and space fractional derivatives reduced wave equation and the (1+1)-dimensional Burger’s equation . The result of this problems reveal that the Adomian decomposition method is very powerful, effective, convenient and quite accurate to systems of nonlinear fractional equation.
Keywords:
Adomian decomposition method, Fractional calculus, The fractional nonlinear partial differential equations
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 11, 2012DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
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