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

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  • Vildan Gülkaç

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.

Suggested Citation

  • Vildan Gülkaç, 2016. "A Method of Finding Source Function for Inverse Diffusion Problem with Time-Fractional Derivative," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-8, May.
    • Handle: RePEc:hin:jnlamp:6470949
    DOI: 10.1155/2016/6470949
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