Existence and uniqueness of mild solution for stochastic partial integro-differential equations with delays

A.Anguraj1* and K. Ramkumar2

doi:10.26637/MJM0603/0013

Existence and uniqueness of mild solution for stochastic partial integro-differential equations with delays

Authors :

A.Anguraj^1*and K. Ramkumar²

Author Address :

^1,2Department of Mathematics, PSG College of Arts and Science, Coimbatore-641 014 , Tamil Nadu, India.

*Corresponding author.

Abstract :

In this work, we study the existence results for stochastic partial integro-differential equations with delays. The mild solution of the problem is derived by using a different resolvent operator given in [18]. The existence of solution is proved by using contraction mapping principle.

Keywords :

Resolvent operator, Mild solution, Stochastic partial integro-differential equations, Delays.

DOI :

10.26637/MJM0603/0013

Article Info :

Received : March 24, 2018; Accepted : June 16, 2018.