Article

Boundary Value Problem for a Parabolic-hyperbolic Equation with a Reaction–diffusion Operator of Fractional Order

O. Kh. AbdullaevAlfraganus University, 100190, Tashkent, UzbekistanAvazbek SobirjonovAlfraganus University, 100190, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

The work is devoted to the study of the unique solvability of a boundary value problem with a nonlinear gluing condition for a loaded reaction-diffusion-wave equation of fractional order. This problem is reduced to investigate of solvability of Fredholm type nonlinear integral equations. In proofing of the theorem on one valued solvability is used the method of successive approximations in combination it with the method of compressing mapping. The existence and uniqueness of the solution of the inverse boundary value problem are proved.

Topics

Differential Equations and Boundary Problems Differential Equations and Numerical Methods Nonlinear Differential Equations Analysis

Identifiers

DOI: 10.1134/s199508022460674x

Citations and references

Cited by 08 references

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