## International Journal of Differential Equations

### Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations

Qiong Wu

#### Abstract

Mild solutions generated by a $(a, k)$-regularized family to fractional stochastic relaxation equations are studied. The main objective is to establish the existence and uniqueness of square-mean asymptotically almost automorphic mild solutions to linear and semilinear case of these equations. Under different hypotheses, some new theorems concerning the main objective are derived.

#### Article information

Source
Int. J. Differ. Equ., Volume 2015 (2015), Article ID 143591, 8 pages.

Dates
Accepted: 10 September 2015
First available in Project Euclid: 20 January 2017

https://projecteuclid.org/euclid.ijde/1484881440

Digital Object Identifier
doi:10.1155/2015/143591

Mathematical Reviews number (MathSciNet)
MR3407068

Zentralblatt MATH identifier
1339.34016

#### Citation

Wu, Qiong. Mean-Square Asymptotically Almost Automorphic Solutions to Fractional Stochastic Relaxation Equations. Int. J. Differ. Equ. 2015 (2015), Article ID 143591, 8 pages. doi:10.1155/2015/143591. https://projecteuclid.org/euclid.ijde/1484881440

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