Identification of a time-dependent diffusivity coefficient in heat-like space-time fractional differential equations

Authors : Mine Aylin BAYRAK, Ali DEMİR

Pages : 11-20

Doi:10.54559/jauist.1129786

View : 43 | Download : 11

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :The goal of this research is to reveal the unknown time dependent diffusion coefficient in space-time fractional differential equations by means of fractional Taylor series method. Unlike most methods used in inverse problems, using no over-measured data is a substantial advantage of this method. As a result, the unknown diffusion coefficient could be determined with high precision. Illustrative examples shows that the retrieved unknown coefficient and the solution of the problem are in a high agreement with the exact solution of the corresponding the inverse problems.
Keywords : space time fractional partial differential equations, fractional Taylor series method, Inverse problems

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