Well-posedness and regularity of some stochastic time-fractional integral equations in Hilbert space

Well-posedness and regularity of some stochastic time-fractional integral equations in Hilbert space

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In the current work, we deal with a class of nacrack.com stochastic time-fractional integral equations in Hilbert space by studying their well-posedness and regularity.Precisely, we use the celebrity fixed point theorem to prove the well-posedness of the problem by imposing the global Lipschitz and the linear growth conditions.Further, we prove the spatial and temporal regularity by imposing only a regularity read more condition on the initial value.An important example is considered in order to confirm and support the validity of our theoretical results.