Semilinear Neutral Fractional Stochastic Integro-Differential Equations with Nonlocal Conditions

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• 作者：Hamdy M. Ahmed
• 关键词：Fractional calculus ; Semilinear neutral stochastic integro ; differential equations ; Semigroups ; Nonlocal conditions ; Mild solutions ; Sadovskii fixed point theorem ; 26A33 ; 60H10 ; 34K30 ; 34K40
• 刊名：Journal of Theoretical Probability
• 出版年：2015
• 出版时间：June 2015
• 年：2015
• 卷：28
• 期：2
• 页码：667-680
• 全文大小：413 KB
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• 作者单位：Hamdy M. Ahmed (1)
  
  1. Higher Institute of Engineering, El-Shorouk Academy, P.O. 3, El-Shorouk City, Cairo, Egypt
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Probability Theory and Stochastic Processes
  Statistics
  
• 出版者：Springer Netherlands
• ISSN：1572-9230

文摘

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.