- Journal of Amasya University the Institute Sciences and Technology
- Vol: 3 Issue: 2
- Identification of a time-dependent diffusivity coefficient in heat-like space-time fractional differ...
Identification of a time-dependent diffusivity coefficient in heat-like space-time fractional differential equations
Authors : Mine Aylin Bayrak, Ali Demir
Pages : 11-20
Doi:10.54559/jauist.1129786
View : 15 | Download : 8
Publication Date : 2022-12-31
Article Type : Research
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