Mild solution for fractional functional integro-differential equation with not instantaneous impulse

Ganga Ram Gautam; Jaydev Dabas

doi:10.26637/mjm204/010

Abstract

In this investigation, we prove the existence uniqueness and continuous dependence results of mild solution for nonlocal fractional differential equations with state dependent delay subject to not instantaneous impulse. We illustrate the existence result by an example involving partial derivatives.

Keywords:

Fractional order differential equation, Functional differential equations, Impulsive conditions, Fixed point theorem

Mathematics Subject Classification:

26A33, 34K05, 34A12, 34A37

Authors Imprint References Funding Related Articles Downloads

Ganga Ram Gautam Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, India.
Jaydev Dabas Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, India. https://orcid.org/0000-0002-4881-4463

Pages: 428-437
Date Published: 01-10-2014
Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

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