Abstract
In this paper, we prove the existence and regularity of a tempered pullback attractor for a non-autonomous stochastic fractional equation involving an abstract non-local operator defined aswhere is the kernel of which satisfies the general fractional-type condition of order and is a ball in centered at x with radius ε. The asymptotical compactness of solutions in is demonstrated by the spectral decomposition and truncation technique, where is a Hilbert space with and As a special example, we obtain the existence and regularity of tempered pullback attractor of stochastic fractional reaction-diffusion equation.
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