Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Authors : Murugaiya Janaki, Kuppusamy Kanagarajan, Elsayed Mohammed Elsayed

Pages : 51-63

Doi:10.33187/jmsm.434266

View : 35 | Download : 12

Publication Date : 2019-04-20

Article Type : Research

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.