Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order

2023

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DOI 10.31489/2023m2/4-20
Data confidence 70 medium
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Abstract

The paper investigates the issues of solvability and spectral properties of local and nonlocal problems for the fractional order diffusion-wave equation. The regular and strong solvability to problems stated in the domains, both with characteristic and non-characteristic boundaries are proved. Unambiguous solvability is established and theorems on the existence of eigenvalues or the Volterra property of the problems under consideration are proved.