Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation-Reference-Cited by-同舟云学术

Solvability and Volterra property of nonlocal problems for mixed fractional-order diffusion-wave equation

Published:2023-04-24 Issue:1 Volume:2023 Page:
ISSN:1687-2770
Container-title:Boundary Value Problems
language:en
Short-container-title:Bound Value Probl

Author:

Adil Nauryzbay,Berdyshev Abdumauvlen S.,Eshmatov B. E.,Baishemirov Zharasbek D.

Abstract

AbstractThe paper is devoted to the study of one class of problems with nonlocal conditions for a mixed diffusion-wave equation with two independent variables. The main results of the work are the proof of regular and strong solvability, as well as the Volterra property of three problems with conditions pointwise connecting the values of the tangent derivative of the desired solution on one of the characteristics with derivatives in various directions of the solution on an arbitrary curve lying inside the characteristic triangle for a fractional-order diffusion-hyperbolic equation.

Funder

Science Committee of Ministry of Science and Higher Education of the Republic of Kazakhstan

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13661-023-01735-0.pdf

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