(2011) 5, pp. 1-7. (pdf)
Jöelson Solofoniaina and Fitiavana Anjara
Département de Mathématiques et d’Informatique, Faculté des Sciences, Université d’Antananarivo, Madagascar
Abstract:
The Adomian decomposition method (ADM) is generalized to solve fractional relaxation and symmetric space-time fractional diffusion equations. For the second equation, ADM will be combined with Fourier transform due to the irregularity of the initial condition. We obtain the same analytical solutions as the traditional transform technique in terms of power series and in terms of Mellin-Barnes integral
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