Abstract and Applied Analysis

Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations

Zhi-Han Zhao, Yong-Kui Chang, and Juan J. Nieto

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Abstract

The existence of asymptotically almost automorphic mild solutions to an abstract stochastic fractional partial integrodifferential equation is considered. The main tools are some suitable composition results for asymptotically almost automorphic processes, the theory of sectorial linear operators, and classical fixed point theorems. An example is also given to illustrate the main theorems.

Article information

Source
Abstr. Appl. Anal., Volume 2013, Special Issue (2013), Article ID 138068, 8 pages.

Dates
First available in Project Euclid: 26 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393450375

Digital Object Identifier
doi:10.1155/2013/138068

Mathematical Reviews number (MathSciNet)
MR3143561

Zentralblatt MATH identifier
1297.45015

Citation

Zhao, Zhi-Han; Chang, Yong-Kui; Nieto, Juan J. Asymptotic Behavior of Solutions to Abstract Stochastic Fractional Partial Integrodifferential Equations. Abstr. Appl. Anal. 2013, Special Issue (2013), Article ID 138068, 8 pages. doi:10.1155/2013/138068. https://projecteuclid.org/euclid.aaa/1393450375


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