Title of article :
On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses
Author/Authors :
Rahou ، Wafaa Laboratory of Mathematics - Djillali Liabes University , Salim ، Abdelkrim Laboratory of Mathematics - Djillali Liabes University , Larzeg ، Jamal Eddine Laboratory of Mathematics - Djillali Liabes University of Sidi Bel-Abbes , Benchohra ، Mouffak Laboratory of Mathematics - Djillali Liabes University of Sidi Bel-Abbes
Abstract :
This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii’s fixed point theorem. An illustrative example is given to validate our main results.
Keywords :
Riesz , Caputo fractional derivative , Existence , Measure of noncompactness , Fixed point , Ulam stability , Non , instantaneous impulses
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
