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

Ganga Ram Gautama,* and Jaydev Dabasb

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

Authors :

Ganga Ram Gautam^a,* and Jaydev Dabas^b

Author Address :

^a,bDepartment of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, India.

*Corresponding author.

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.

DOI :

Article Info :

Received : February 19, 2014; Accepted : June 04, 2014.