Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain-Reference-Cited by-同舟云学术

Inverse source problem for an equation of mixed parabolic-hyperbolic type with the time fractional derivative in a cylindrical domain

Published:2022-06-30 Issue:2 Volume:26 Page:355-367
ISSN:2310-7081
Container-title:Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
language:
Short-container-title:Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences

Author:

Durdiev Durdimurod K.^ORCID

Abstract

This article is devoted to the study of an inverse source problem for a mixed type equation with a fractional diffusion equation in the parabolic part and a wave equation in the hyperbolic part of a cylindrical domain. The solution is obtained in the form of FourierBessel series expansion using an orthogonal set of Bessel functions. The theorems of uniqueness and existence of a solution are proved.

Publisher

Samara State Technical University

Subject

Applied Mathematics,Mechanics of Materials,Condensed Matter Physics,Mathematical Physics,Modeling and Simulation,Software,Analysis

Link

https://journals.eco-vector.com/1991-8615/article/viewFile/106724/pdf

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