MMN-4032

Qualitative study for impulsive pantograph fractional integro-differential equation via ψ-Hilfer derivative

Moustafa Beddani; Hamid Beddani; Michal Fečkan;

Abstract

In this paper, we study the existence and stability of solutions for an impulsive pantograph fractional integro-differential equation via ψ-Hilfer fractional derivative in a appropriate Banach space. Our approach is based on fixed point theorems of Darbo’s and Mönch via Kuratowski measure of non-compactness, an example is given to illustrate our approach.

Vol. 24 (2023), No. 2, pp. 635-651

DOI: 10.18514/MMN.2023.4032

Download: MMN-4032