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

Authors

  • School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • School of Sciences, Arts, Media \& Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA
  • Department of Mathematics, Panimalar Engineering College, Poonamallee, Chennai–600123, Tamil Nadu, India.
  • 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.

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Published

2024-02-21

Issue

Vol. 31 No. 1 (2024): Nonlinear Studies (NS)

Section

Articles

How to Cite

Coupled implicit impulsive fractional differential system within exponential kernel on generalized Banach space. (2024). Nonlinear Studies, 31(1). https://nonlinearstudies.com/index.php/nonlinear/article/view/3509