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Exact solution of time fractional partial differential equation. (English) Zbl 1186.26006

Summary: A time fractional partial differential equation is considered, where the fractional derivative is defined in the Caputo sense. A function transform and Laplace transform method along with an intermediate step of Mellin transform have been applied to achieve an exact solution in terms of the H-function and the complement error function.

MSC:

26A33 Fractional derivatives and integrals
44A20 Integral transforms of special functions
35A22 Transform methods (e.g., integral transforms) applied to PDEs
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