Speakers NEW!!! > Lazreg Jamal Eddine

sciencesconf.org:icma21:374852

Existence and Ulam stability of $k$-Generalized $\psi$-Hilfer Fractional Problem

Jamal Eddine Lazreg 1, *, @ , Mouffak Benchohra 1, @ , Abdelkrim Salim 1, @

1 : Université Djillali Liabes [Sidi Bel Abbès] - Website

B.P. 89, Sidi Bel Abbès 22000 - Algeria

* : Corresponding author

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

Subject :	:	Oral
Topics	:	Mathematical analysis
Keywords	:	$\psi$ ; Hilfer fractional derivative ; $k$ ; generalized $\psi$ ; Hilfer fractional derivative ; Cauchy ; type problem ; existence and uniqueness ; generalized Gronwall inequality.

Online user: 2

Privacy