Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 2025 07 24 Determination of an unknown time dependent coefficient for semilinear time-fractional parabolic equation 9860 10.22075/ijnaa.2024.27835.3734 EN Rima Faizi LMA Laboratory, Department of Mathematics, University of Badji Mokhtar, Annaba, Algeria Atmania Rahima LMA Laboratory, Department of Mathematics, University of Badji Mokhtar, Annaba, Algeria 0000-0001-5377-2782 Journal Article 2022 07 19 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. https://ijnaa.semnan.ac.ir/article_9860_4b2e12b43338e42361077cb6516ad63e.pdf