Journal of innovative applied mathematics and computational sciences
Volume 2, Numéro 2, Pages 1-13
2022-09-10

Existence And Ulam Stability Of K-generalized ψ-hilfer Fractional Problem



Authors : Lazreg Jamal Eddine . Benchohra Mouffak . Salim Abdelkrim .

Abstract

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 illustrate our results.

Keywords

$\psi$-Hilfer fractional derivative $k$-generalized $\psi$-Hilfer fractional derivative Cauchy-type problem existence and uniqueness generalized Gronwall inequality stability

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