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Existence and Uniqueness for a Class of Stochastic Time Fractional Space Pseudo-Differential Equations

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Abstract

Some classes of stochastic fractional differential equations with respect to time and a pseudo-differential equation with respect to space are investigated. Using estimates for the Mittag-Leffler functions and a fixed point theorem, existence and uniqueness of mild solutions of the equations under consideration are established.

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Correspondence to Hu Ke.

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Ke, H., Niels, J. & Chenggui, Y. Existence and Uniqueness for a Class of Stochastic Time Fractional Space Pseudo-Differential Equations. FCAA 19, 56–68 (2016). https://doi.org/10.1515/fca-2016-0004

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  • DOI: https://doi.org/10.1515/fca-2016-0004

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