分数阶脉冲中立型随机微积分方程的适定性

Well-Posedness for Fractional Neutral Impulsive Stochastic Integro-Differential Equations

利用Sadovskii不动点定理以及α-预解算子理论讨论了一类在Hilbert空间中带无限时滞的分数阶脉冲中立型随机微积分方程温和解的适定性,并通过举例说明了结果的有效性.

This paper deals with the well-posedness of mild solutions for a class of fractional neutral impulsive stochastic integro-differential equations with infinite delay in Hilbert spaces. The results are obtained by using the Sadovskii fixed point theorem combined with theories of α-resolvent operators. An example is provided to illustrate the effectiveness of the proposed results.