Boundary value problems for Caputo-Fabrizio implicit fractional differential system with impulses

Authors

  • Department of Mathematics, School of Sciences, Arts, Media and Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • Department of Mathematics, School of Sciences, Arts, Media and Management, Karunya Institute of Technology and Sciences, Karunya Nagar, Coimbatore-641114, Tamil Nadu, India.
  • Department of mathematics, Sastra Deemed to be University

Abstract

In this manuscript, we aim to establish the existence results for impulsive Caputo-Fabrizio (CF) implicit fractional differential system (CFIFDS) with boundary value conditions (BVC). Utilizing Banach fixed point theorem and Krasnoselskii's fixed point theorem, certain novel existence findings are established. Finally, examples are provided to justify the applicability of our theoretical results.

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Published

2022-05-20

Issue

Vol. 29 No. 2 (2022): Nonlinear Studies (NS)

Section

Articles

How to Cite

Boundary value problems for Caputo-Fabrizio implicit fractional differential system with impulses. (2022). Nonlinear Studies, 29(2). https://nonlinearstudies.com/index.php/nonlinear/article/view/2799