Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect

Mohd Nadeema,* and Jaydev Dabasb

Mild solutions for semi-linear fractional order functional stochastic differential equations with impulse effect

Authors :

Mohd Nadeem^a,* and Jaydev Dabas^b

Author Address :

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

*Corresponding author.

Abstract :

This paper is concerned with the existence results of mild solution for an impulsive fractional order stochastic differential equation with infinite delay subject to nonlocal conditions. The results are obtained by using the fixed point techniques and solution operator generated by sectorial operator on a Hilbert space.

Keywords :

Fractional order differential equation, nonlocal conditions, existence and uniqueness, impulsive conditions, stochastic differential equations

DOI :

Article Info :

Received : October 24, 2014; Accepted : March 09, 2015.