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On Some Fractional Stochastic Integrodifferential Equations in Hilbert Space

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  • Hamdy M. Ahmed

Abstract

We study a class of fractional stochastic integrodifferential equations considered in a real Hilbert space. The existence and uniqueness of the Mild solutions of the considered problem is also studied. We also give an application for stochastic integropartial differential equations of fractional order.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:568078
    DOI: 10.1155/2009/568078
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    Cited by:

    1. 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.
    2. Dineshkumar, C. & Udhayakumar, R. & Vijayakumar, V. & Shukla, Anurag & Nisar, Kottakkaran Sooppy, 2021. "A note on approximate controllability for nonlocal fractional evolution stochastic integrodifferential inclusions of order r∈(1,2) with delay," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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