Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Year 2019, Volume: 2 Issue: 1, 51 - 63, 20.04.2019

Murugaiya Janaki , Kuppusamy Kanagarajan , Elsayed Mohammed Elsayed

https://doi.org/10.33187/jmsm.434266

Cited By: 1

https://izlik.org/JA25PL24LR

Abstract

In this paper, we consider the existence and uniqueness of solutions to the impulsive differential equations with inclusions involving Katugampola fractional derivative. With the help of properties of Katugampola fractional calculus and fixed point methods, we derive existence and uniqueness results. Finally, an example is given to illustrate our theoretical results.

Keywords

Katugampola fractional derivative , Differential inclusion , Impulses; Existence , Uniqueness; Fixed point.

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