Work

Solvability of BVPs for the Parabolic-Hyperbolic Equation with Non-linear Loaded Term

Year: 2021

Type: article

Abstract: This work is devoted to prove the existence and uniqueness of solution of BVP with non-local assumptions on the boundary and integral gluing conditions for the parabolic-hyperbolic type equation involving Caputo derivatives. Using the method of integral energy, the uniqueness of solution have been proved. Existence of solution was proved by the method of integral equations

Source: Journal of Siberian Federal University Mathematics & Physics

DOI: 10.17516/1997-1397-2021-14-2-133-145

Author: Obidjon Kh. Abdullaev

Institution: Russian Academy of Sciences

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W3137988959

FWCI: 1.045

Cites: 11

Cited by: 5

Related to: 10