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Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions

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  • Hamdy M. Ahmed

    (El-Shorouk Academy)

Abstract

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.

Suggested Citation

  • Hamdy M. Ahmed, 2015. "Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions," Journal of Theoretical Probability, Springer, vol. 28(2), pages 667-680, June.
    • Handle: RePEc:spr:jotpro:v:28:y:2015:i:2:d:10.1007_s10959-013-0520-1
    DOI: 10.1007/s10959-013-0520-1
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    References listed on IDEAS

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    1. Hamdy M. Ahmed, 2009. "On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-8, August.
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    Cited by:

    1. Barakah Almarri & Xingtao Wang & Ahmed M. Elshenhab, 2022. "Controllability of Stochastic Delay Systems Driven by the Rosenblatt Process," Mathematics, MDPI, vol. 10(22), pages 1-20, November.

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