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

Swathi Dhandapani, Karthik Raja Umapathi, Jeyaraman Mathuraiveeran, Kamal Shah, Thabet Abdeljawad, Fahd Jarad

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.

Full Text: PDF

Refbacks

  • There are currently no refbacks.


ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea