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Existence result for fractional neutral stochastic integro-differential equations with infinite delay. (English) Zbl 1232.34107
This paper is mainly focused upon the existence of mild solutions for a fractional neutral stochastic integro-differential equation with infinite delay in Hilbert spaces. A sufficient condition for the existence is established by the well-known Sadovskii’s fixed point theorem. An example is also given to illustrate the main theorem.

34K30 Functional-differential equations in abstract spaces
34K50 Stochastic functional-differential equations
34K37 Functional-differential equations with fractional derivatives
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
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