A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative

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GÜLKAÇ V.

ADVANCES IN MATHEMATICAL PHYSICS, 2016 (SCI-Expanded) identifier identifier

Abstract

The Homotopy Perturbation Method is developed to find a source function for inverse diffusion problem with time-fractional derivative. The inverse problem is with variable coefficients and initial and boundary conditions. The analytical solutions to the inverse problems are obtained in the form of a finite convergent power series with easily obtainable components.