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

Mohd Nadeem; Jaydev Dabas

doi:10.26637/mjm303/006

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

Mathematics Subject Classification:

26A33, 34B10, 34A12, 34A37, 34K50

Authors Imprint References Funding Related Articles Downloads

Mohd Nadeem b 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.

Pages: 277-288
Date Published: 01-07-2015
Vol. 3 No. 03 (2015): Malaya Journal of Matematik (MJM)

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