Browsing by Author "Arab, Zineb"

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    Well-Posedness and Regularity of Some Stochastic Time-Fractional Integral Equations in Hilbert Space
    (Taylor & Francis Ltd, 2022) Arab, Zineb; Tunc, Cemil
    In the current work, we deal with a class of 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 condition on the initial value. An important example is considered in order to confirm and support the validity of our theoretical results.