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

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Bayrak M. A., Demir A.

Journal of Amasya University the Institute of Sciences and Technology, cilt.3, sa.2, ss.11-20, 2022 (Hakemli Dergi)

Özet

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.