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

Michael Ruzhansky1 Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium;2 School of Mathematical Sciences, Queen Mary University of London, United Kingdom. E-Mail [email protected]

Daurenbek Serikbaev1 Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium;3 Al–Farabi Kazakh National University, Almaty, Kazakhstan;4 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan. E-Mail [email protected] and [email protected]

Berikbol T. Torebek1 Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium;3 Al–Farabi Kazakh National University, Almaty, Kazakhstan;4 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan. E-Mail [email protected] and [email protected]

Niyaz Tokmagambetov1 Department of Mathematics: Analysis, Logic and Discrete Mathematics, Ghent University, Belgium;3 Al–Farabi Kazakh National University, Almaty, Kazakhstan;4 Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan. E-Mail [email protected] and [email protected]Correspondence[email protected]

Abstract

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.

Mathematics Subject Classification (2020):

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

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

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