not-yet-known
not-yet-known
not-yet-known
unknown
Existence and attractivity of mild solutions for fractional diffusion
equations involving the regularized ψ -Hilfer fractional derivatives
- Luyao Wang,
- Jia Mu
, - Jia Wei He
Jia Wei He
Guangxi University School of Mathematics and Information Science
Author ProfileAbstract
not-yet-known
not-yet-known
not-yet-known
unknown
The regularized ψ-Hilfer derivative within the sense of Caputo is
an improved version of the ψ-Hilfer fractional derivative,
primarily because it addresses the issue where the initial conditions of
problems involving the ψ-Hilfer fractional derivative lack clear
physical significance unless p=1. This article’s main
contribution is the use of the ψ-Laplace transform, which is the
first provide an explicit expression for mild solutions to the
fractional diffusion equations with the regularized ψ-Hilfer
derivative. Additionally, we investigate the existence and attractivity
of mild solutions for fractional diffusion equations involving the
regularized ψ-Hilfer fractional derivatives. Finally, we provide
two examples to illustrate our main resuits.18 Jun 2024Submission Checks Completed 18 Jun 2024Assigned to Editor
27 Jun 2024Reviewer(s) Assigned