Caputo Fractional q-Difference Equations in Banach Spaces | ASJP

Journal of innovative applied mathematics and computational sciences
Volume 3, Numéro 1, Pages 1-14
2023-06-30

Caputo Fractional Q-difference Equations In Banach Spaces

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

Abstract

This paper aims to explore the existence results of a certain type of Caputo fractional $q$-difference equations in Banach spaces. To achieve this goal, we employ a fixed point theorem that relies on the concept of measure of noncompactness and the convex-power condensing operator. We give an illustrative example in the last section.

Keywords

Fractional $q$-difference equation ; measure of noncompactness ; solution ; fixed point

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