STUDY OF IMPULSIVE PROBLEM WITH CAPUTO FRACTIONAL DERIVATIVE INVOLVING NONLOCAL CONDITIONS USING FIXED POINT THEORY

Authors

  • Swathi Dhandapani Research Center & PG Department of Mathematics, The Madura College, Aliated to Madurai Kamaraj University
  • Karthik Raja Umapathi Research Center & PG Department of Mathematics, The Madura College, Aliated to Madurai Kamaraj University
  • Jeyaraman Mathuraiveeran PG & Research Department of Mathematics, Raja Doraisingam Government Arts College, Aliated to Alagappa Univeristy
  • Kamal Shah Department of Mathematics and Sciences, Prince Sultan University
  • Thabet Abdeljawad Department of Mathematics and Sciences, Prince Sultan University
  • Fahd Jarad Department of Mathematics, Cankaya University

Abstract

In this article, we study the existence of solutions for an impulsive Caupto fractional differential equations with a class of initial value problem dependence on the Lipschitz first derivative conditions. Our main tool is a Banach's fixed point theorem and Leray-Schauder fixed point theorem. We also investigate the existence of fractional Derivativewith non-local conditions. An numerical example is given to clarify the results.

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Published

2025-06-02

Issue

Volume 30, Number 2, June 2025

Section

Articles