A new result on Caputo-Fabrizio fractional implicit pantograph differential inclusions with non-instantaneous impulses in Banach spaces

  • P. Kanimozhi 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.
  • Seenith Sivasundaram College of Engineering, Science and Mathematics, Daytona Beach, FL 32114, USA.
  • R. Deepa 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 manuscript primarily aims to establish the existence of a piecewise-continuous solution for Caputo-Fabrizio fractional implicit pantograph differential inclusions (CFFIPDI) with non-instantaneous impulses (NII) in the Banach space. Based on Martelli’s fixed point theorem, we develop our main results. The validity of the theoretical findings is illustrated with the help of an example.

Published
2024-05-21