Preprint Article Version 1 This version is not peer-reviewed

Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces

Version 1 : Received: 24 October 2018 / Approved: 25 October 2018 / Online: 25 October 2018 (05:22:06 CEST)

A peer-reviewed article of this Preprint also exists.

Chalishajar, D.; Ravichandran, C.; Dhanalakshmi, S.; Murugesu, R. Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces. Appl. Syst. Innov. 2019, 2, 18. Chalishajar, D.; Ravichandran, C.; Dhanalakshmi, S.; Murugesu, R. Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces. Appl. Syst. Innov. 2019, 2, 18.

Journal reference: Appl. Syst. Innov. 2019, 2, 18
DOI: 10.3390/asi2020018

Abstract

In this paper, we established the existence of PC-mild solutions for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained by using the techniques of fixed point theorems, semi-group theory and generalized Bellman inequality. In this paper, we have used the distributed characteristic operators to define the mild solution of the system. Results obtained here improve and extend some known results.

Subject Areas

fractional differential equations: impulse; integro-differential equations; non local conditions; fixed point theorem

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