Caputo-Fabrizio fractional neutral pantograph integro-differential system analysis with impulses

Authors

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

This paper is primarily dedicated to investigating the existence of solutions for an impulsive fractional neutral pantograph integro-differential system (IFNPIDS) through the utilization of the Caputo-Fabrizio (CF) operator. We introduce a novel solution for our addressing system and employ fixed-point techniques to establish innovative results. The paper concludes by presenting two numerical examples, illustrating the practical applicability of our theoretical findings.

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Published

05/26/2024

Issue

Vol. 15 No. 2 (2024): Mathematics in Science, Engineering, and Aerospace (MESA)

Section

Articles