Boundary value problems for Caputo-Fabrizio implicit fractional differential system with impulses

P Kanimozhi; Velusamy Kavitha; Mani Mallika Arjunan

P Kanimozhi Department of Mathematics, School of Sciences, Arts, Media and Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
Velusamy Kavitha Department of Mathematics, School of Sciences, Arts, Media and Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
Mani Mallika Arjunan Department of mathematics, Sastra Deemed to be University

Abstract

In this manuscript, we aim to establish the existence results for impulsive Caputo-Fabrizio (CF) implicit fractional differential system (CFIFDS) with boundary value conditions (BVC). Utilizing Banach fixed point theorem and Krasnoselskii's fixed point theorem, certain novel existence findings are established. Finally, examples are provided to justify the applicability of our theoretical results.