Work

Existence and uniqueness of the solution to initial and inverse problems for integro-differential heat equations with fractional load

Year: 2024

Type: article

Abstract: This work is devoted to the unique solvability of the direct and inverse problems for a multidimensional heat equation with a fractional load in Holder spaces. In the problem under consideration, the loaded term is in the form of a fractional integral operator for the time variable. We prove the existence and uniqueness of the solution to these problems by the contraction mapping theorem and the theory of integral equations. For more information see https://ejde.math.txstate.edu/Volumes/2024/64/abstr.html

Source: Electronic Journal of Differential Equations

DOI: 10.58997/ejde.2024.64

Authors: Ravi Agarwal, Umida Baltaeva, Florence Hubert, Boburjon Khasanov

Institutions: Florida Institute of Technology, Aix-Marseille Université

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403778908

FWCI: 3.124

Cites:

Cited by: 4

Related to: 10