Results of impulsive fractional integro-differential system within exponential kernel for boundary value conditions

P. Kanimozhi; V. Kavitha; S. Sivasundaram; R. Deepa; M. Mallika Arjunan

P. Kanimozhi Department of Mathematics, School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
V. Kavitha Department of Mathematics, 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 Department of Mathematics, 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

In this paper, our primary goal is to investigate the existence of solutions for an impulsive fractional integro-differential system (IFIDS) subject to boundary value conditions (BVC), utilizing the Caputo-Fabrizio operator (CFO). Through the application of fixed-point methodologies, we derive original insights into the existence of solutions. The final section of the study incorporates three numerical examples, serving to illustrate the practical application of the theoretical concepts introduced.