Hilfer fractional stochastic integro-differential equations

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摘要

In this paper, we investigate the existence of mild solutions of Hilfer fractional stochastic integro-differential equations with nonlocal conditions. The main results are obtained by using fractional calculus, semigroups and Sadovskii fixed point theorem. In the end, an example is given to illustrate the obtained results.

论文关键词：Hilfer fractional derivative,Stochastic integro-differential equations,Mild solutions,Sadovskii fixed point theorem

论文评审过程：Received 26 January 2017, Revised 28 February 2018, Accepted 4 March 2018, Available online 21 March 2018, Version of Record 21 March 2018.

论文官网地址：https://doi.org/10.1016/j.amc.2018.03.009