J. Nonl. Evol. Equ. Appl. 2017 (8), pp. 109-121, published on September 10, 2019:

Impulsive stochastic fractional order integro-differential equations with infinite delay

M. Nadim, J. Dabas

Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur-247001, India.

Received on November 2, 2015
Accepted on July 1, 2017

Communicated by Gaston M. N'Guérékata

Abstract.  In this paper, we prove the existence results of mild solutions for a fractional order impulsive stochastic integro-differential equations with infinite delay.The existence results are proved by using the fixed point techniques on a Hilbert space. At last, we provide an example to verify the existence result.
Keywords:Fractional order differential equation, Nonlocal conditions, Existence and uniqueness, Impulsive conditions, Stochastic differential equations..
2010 Mathematics Subject Classification:   26A33, 34K05, 34A12, 34A37, 34K50.

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