Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions

Hamdy M. Ahmed ()
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Hamdy M. Ahmed: El-Shorouk Academy

Journal of Theoretical Probability, 2015, vol. 28, issue 2, 667-680

Abstract: 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.

Keywords: Fractional calculus; Semilinear neutral stochastic integro-differential equations; Semigroups; Nonlocal conditions; Mild solutions; Sadovskii fixed point theorem; 26A33; 60H10; 34K30; 34K40 (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10959-013-0520-1

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