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An inverse source problem for pseudo-parabolic equation with Caputo derivative
Journal article   Peer reviewed

An inverse source problem for pseudo-parabolic equation with Caputo derivative

Le Dinh Long, Nguyen Hoang Luc, Salih Tatar, Dumitru Baleanu and Nguyen Huu Can
Journal of applied mathematics & computing, Vol.68(2), pp.739-765
01/04/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed to solve the problem. In addition, we present numerical examples to illustrate applicability and accuracy of the proposed method to some extent.

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