Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS(2023)
摘要
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.
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关键词
diffusion-wave equations,fractional order equations,boundary value problems,strong solution,Volterra property,eigenvalue
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