Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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.

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.

Keywords

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

Subject

Computer Science and Mathematics, Applied Mathematics

Comments (0)

We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.

Leave a public comment
Send a private comment to the author(s)
* All users must log in before leaving a comment
Views 0
Downloads 0
Comments 0
Metrics 0


×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.
We use cookies on our website to ensure you get the best experience.
Read more about our cookies here.