Accepted for publication in JNEEA

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 fora 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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