Қарағанды университетінің хабаршысы. Математика сериясы (Jun 2023)

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

  • N. Adil,
  • A.S. Berdyshev

Journal volume & issue
Vol. 110, no. 2

Abstract

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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.

Keywords