Research article
On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems
Abstract
Our research is primarily focused on applying the tempered (κ, ψ)-fractional operators to investigate the existence, uniqueness, and κ-Mittag-Leffler-Ulam-Hyers stability of a specific class of boundary value problems involving implicit nonlinear fractional differential equations and tempered (κ, ψ)-Hilfer fractional derivatives. To accomplish this, we make use of the fixed point theorem of Banach and a generalization of the well-known Gronwall inequality. Additionally, we provide illustrative examples to demonstrate the practical effectiveness of our main findings.
How to cite
A. Salim, J. E. Lazreg, M. Benchohra, On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems, Pan-Amer. J. Math. 3 (2024), 1. https://doi.org/10.28919/cpr-pajm/3-1
BibTeX
@article{Salim2024,
author = {Salim, Abdelkrim and Lazreg, Jamal Eddine and Benchohra, Mouffak},
title = {On Tempered (κ, ψ)-Hilfer Fractional Boundary Value Problems},
journal = {Pan-Amer. J. Math.},
volume = {3},
year = {2024},
pages = {1},
doi = {10.28919/cpr-pajm/3-1}
}