Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem

Existence and Ulam stability of k-Generalized ψ-Hilfer Fractional Problem

In this paper, we prove existence, uniqueness stability results for a class of initial value problem for fractional differential equations involving generalized ψ-Hilfer fractional derivative. The result is based on the Banach contraction mapping principle. In addition, two examples are given to il...

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Bibliographic Details
Main Authors: Jamal Eddine Lazreg, Mouffak Benchohra, Abdelkrim Salim
Format: Article
Language:English
Published: Institute of Sciences and Technology, University Center Abdelhafid Boussouf, Mila 2022-05-01
Series:Journal of Innovative Applied Mathematics and Computational Sciences
Subjects:
$\psi$-Hilfer fractional derivative
$k$-generalized $\psi$-Hilfer fractional derivative
Cauchy-type problem
existence and uniqueness
generalized Gronwall inequality
stability
Online Access:http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/19

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http://jiamcs.centre-univ-mila.dz/index.php/jiamcs/article/view/19

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