International Journal of Nonlinear Analysis and Applications

Determination of an unknown time dependent coefficient for semilinear time-fractional parabolic equation

Articles in Press

Document Type : Research Paper

Authors

LMA Laboratory, Department of Mathematics, University of Badji Mokhtar, Annaba, Algeria

Abstract

In this paper, an inverse problem of determining the time-dependent coefficient of a semilinear parabolic equation involving the Caputo fractional derivative in time, with nonlocal boundary and integral overdetermination conditions, is considered. Existence, uniqueness, and stability results of a classical solution are established using the Fourier method, the iteration method, and Gronwall's Lemma. Moreover, we provide an example to illustrate the obtained results.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 24 July 2025
  • Receive Date: 19 July 2022
  • Accept Date: 26 October 2024