Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

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Journal of Mathematical Sciences and Modelling
Volume:2 Issue:1
Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Existence Criteria for Katugampola Fractional Type Impulsive Differential Equations with Inclusions

Authors : Murugaiya JANAKİ, Kuppusamy KANAGARAJAN, Elsayed Mohammed ELSAYED

Pages : 51-63

Doi:10.33187/jmsm.434266

View : 23 | Download : 11

Publication Date : 2019-04-20

Article Type : Research Paper

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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