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Zbl 1089.65108
Saha Ray, S.; Bera, R.K.
Analytical solution of a fractional diffusion equation by Adomian decomposition method. (English)
[J] Appl. Math. Comput. 174, No. 1, 329-336 (2006). ISSN 0096-3003

Summary: This paper presents an analytical solution of a fractional diffusion equation by the Adomian decomposition method. By using an initial value, the explicit solution of the equation is presented in closed form and then its numerical solution represented graphically. The present method performs extremely well in terms of efficiency and simplicity.
MSC 2000:
*65M70 Spectral, collocation and related methods (IVP of PDE)
26A33 Fractional derivatives and integrals (real functions)
35K55 Nonlinear parabolic equations

Keywords: Adomian decomposition method; Fractional derivative; Fractional differential equation; Fractional diffusion equation

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