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. | |