Solution of generalized fractional reaction-diffusion equations. (English) Zbl 1105.35309
Summary: This paper deals with the investigation of a closed form solution of a generalized fractional reaction-diffusion equation. The solution of the proposed problem is developed in a compact form in terms of the \(H\)-function by the application of direct and inverse Laplace and Fourier transforms. Fractional order moments and the asymptotic expansion of the solution are also obtained.
MSC:
| 35C05 | Solutions to PDEs in closed form |
| 35K57 | Reaction-diffusion equations |
| 35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
| 26A33 | Fractional derivatives and integrals |
Keywords:
Fractional reaction-diffusion; Integral transforms; Mittag-Leffler function; Fox \(H\)-function; closed form solutionReferences:
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