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Some inverse problems for the nonlocal heat equation with Caputo fractional derivative
Authors:Berikbol T. Torebek  Ramiz Tapdigoglu
Affiliation:1. Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, 050010 Almaty, Kazakhstan;2. Al‐Farabi Kazakh National University, Almaty, Kazakhstan;3. LaSIE, Faculté des Sciences et Technologies, Université de La Rochelle, 17042 La Rochelle, France
Abstract:A class of inverse problems for restoring the right‐hand side of a fractional heat equation with involution is considered. The results on existence and uniqueness of solutions of these problems are presented.
Keywords:fractional differential equation  inverse problem  involution  nonlocal heat equation
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