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

Year 2022, Volume: 3 Issue: 2, 11 - 20, 31.12.2022

Mine Aylin Bayrak , Ali Demir

https://doi.org/10.54559/jauist.1129786

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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