Research Article

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

Published in: Quaestiones Mathematicae
Volume 45 , issue 7 , 2022 , pages: 1071–1089

DOI: 10.2989/16073606.2021.1928321

Author(s): Michael Ruzhansky , Belgium , Daurenbek Serikbaev , Belgium , Berikbol T. Torebek , Belgium , Niyaz Tokmagambetov , Belgium

Keywords: 35R30 , 35G15 , 45K05 , 35R30 , 35G15 , 45K05

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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.

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