Wen, Xiaoqing; Ge, Licheng; Yin, Hongwei Almost periodic solutions to stochastic fractional partial equations in fractional power space. (English) Zbl 1363.34026 Ann. Appl. Math. 31, No. 3, 336-344 (2015). Summary: In this paper, we prove the existence of \(p\)th moment almost periodic mild solutions in fractional power space to a class of stochastic fractional partial equations using the techniques of contraction fixed point principle, Schauder fixed point theorem and semigroup theorem. MSC: 34A08 Fractional ordinary differential equations 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 34G20 Nonlinear differential equations in abstract spaces 60H15 Stochastic partial differential equations (aspects of stochastic analysis) Keywords:stochastic fractional differential equation; \(p\)th moment almost periodic solution PDFBibTeX XMLCite \textit{X. Wen} et al., Ann. Appl. Math. 31, No. 3, 336--344 (2015; Zbl 1363.34026)