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Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions

期刊

JOURNAL OF THEORETICAL PROBABILITY
卷 28, 期 2, 页码 667-680

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SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10959-013-0520-1

关键词

Fractional calculus; Semilinear neutral stochastic integro-differential equations; Semigroups; Nonlocal conditions; Mild solutions; Sadovskii fixed point theorem

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In this paper, we prove the existence of mild solutions for a class of semilinear neutral fractional stochastic integro-differential equations with nonlocal conditions. Sufficient conditions for the existence are derived with the help of the Sadovskii fixed point theorem. In the end, an example is given to show the application of our results.

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