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Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise

Existence of global and explosive mild solutions of fractional reaction-diffusion system of semilinear SPDEs with fractional noise

In this paper, we investigate the existence and finite-time blow-up for the solution of a reaction–diffusion system of semilinear stochastic partial differential equations (SPDEs) subjected to a two-dimensional fractional Brownian motion given by [Formula: see text] for [Formula: see text], along with [Formula: see text] where [Formula: see text] is …