Coupled implicit impulsive fractional differential system within exponential kernel on generalized Banach space

S. Jasmin Swetha; V. Kavitha; S. Sivasundaram; R. Deepa; M. Mallika Arjunan

S. Jasmin Swetha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
V. Kavitha School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
S. Sivasundaram College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA
R. Deepa Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai–600123, Tamil Nadu, India.
M. Mallika Arjunan School of Arts, Science and Humanities, SASTRA Deemed to be University, Thanjavur-613401, Tamil Nadu, India; Aryabhatta Research Centre for Mathematical Data Sciences, Coimbatore-641114, Tamil Nadu, India.

Abstract

This paper focuses on establishing the existence results for a coupled implicit impulsive fractional differential system (CIIFDS) utilizing the Caputo-Fabrizio (CF) operator. Employing fixed-point approaches within generalized metric spaces (GMS), we derive novel findings regarding the existence of solutions. To illustrate the practical application of the presented theoretical concepts, a numerical example is provided in the concluding part of the investigation.