Direct and inverse problems for time-fractional pseudo-parabolic equations

Ruzhansky M. Serikbaev D. Torebek B.T. Tokmagambetov N.
2022 Taylor and Francis Ltd.

Quaestiones Mathematicae
2022 #45 Issue 7 1071 - 1089 pp.

The purpose of this paper is to establish the solvability results to direct and inverse problems for time-fractional pseudo-parabolic equations with the self-adjoint operators. We are especially interested in proving existence and uniqueness of the solutions in the abstract setting of Hilbert spaces.

Caputo fractional derivative , direct problem , inverse problem , Pseudo-parabolic equation , weak solution

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Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium
School of Mathematical Sciences, Queen Mary University of London, United Kingdom
Al–Farabi Kazakh National University, Almaty, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Ghent University, Belgium

Department of Mathematics: Analysis
School of Mathematical Sciences
Al–Farabi Kazakh National University
Institute of Mathematics and Mathematical Modeling
Ghent University

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