Study of existence results for fractional functional differential equations involving Riesz-Caputo derivative

Abstract

Within this work, we look into the existence results for a family of fractional functional differential equations employing the Riesz-Caputo fractional derivative in a Banach space. Fractional calculus techniques, Kuratowski’s measure of non-compactness, Carathe´odory conditions, and some theorems on fixed points are used to establish existence results. In the end, a few examples are showcased to evince the proficiency of the offered results. © The Author(s), under exclusive licence to The Forum D’Analystes 2024.