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.
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