The Cauchy problem for the heat equation with a fractional load
Praveen AgarwalFlorence HubertAix-Marseille Universite, CNRS, I2M Marseille, FranceYves DermenjianAix-Marseille Universite, CNRS, I2M Marseille, FranceUmida BaltaevaBobur Hasanov
2024en
ABI
Abstract
In this paper, we study the solvability of a direct problem for a multidimensional fractionally loaded heat equation in Holder spaces. In the problem under consideration, the loaded term is represented in the form of a fractional Riemann-Liouville integral operator with respect to the time variable. This study aims to prove unique solvability and construct a representation of the solution to the problem by the method of the integral equation.
Identifiers
Citations and references
Cited by 20 references