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On the Well-Posedness of Boundary Value Problemsfor a Fractional Diffusion-Wave Equationand One Approach to Solving Them

M. O. MamchuevInstitute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, Nalchik, Kabardino-Balkarian Republic, 360000, Russia
2020en
ABI

Abstract

Based on earlier-established necessary nonlocal conditions that must be satisfied by all regular solutions of a fractional diffusion–wave equation in a rectangular domain, we propose a method for determining the well-posedness of nonlocal boundary value problems for this equation and a method for finding their solutions.

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