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Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses

  • Jayanta Borah and Swaroop Nandan Bora EMAIL logo
Published/Copyright: May 11, 2019

Abstract

In this article, we establish a set of sufficient conditions for the existence of mild solution of a class of fractional differential equations with not instantaneous impulses. The results are obtained by using Banach fixed point theorem and Krasnoselskii’s fixed point theorem. An example is presented for validation of result.

Acknowledgements

The first author is grateful to North Eastern Regional Institute of Science and Technology, Nirjuli, Arunachal Pradesh, India for granting leave for three years and to Indian Institute of Technology Guwahati for providing opportunity to carry out research. Both authors are immensely grateful to the anonymous Reviewer and the Editor-in-Chief for the insightful comments which helped the authors to carry out the required revision.

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Received: 2017-08-17
Revised: 2019-02-19
Published Online: 2019-05-11
Published in Print: 2019-04-24

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