Spectral properties of local and nonlocal problems for the diffusion-wave equation of fractional order
DOI:
https://doi.org/10.31489/2023m2/4-20Keywords:
diffusion-wave equations, fractional order equations, boundary value problems, strong solution, Volterra property, eigenvalueAbstract
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.
