具有非 Lipschitz 条件的 Hilfer 分数随机受电弓方程的平均原理

Pub Date : 2024-08-02 DOI:10.1016/j.spl.2024.110221

Ramkumar Kasinathan , Ravikumar Kasinathan , Dimplekumar Chalishajar , Dumitru Baleanu , Varshini Sandrasekaran

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摘要

本文主要介绍希尔费分数随机微分泛函方程（HFSDPEs）的平均原理。在适当的非 Lipschitz 条件下，平均随机系统解的均方概率可用于近似 HFSDPE 的解。此外，我们的结果还大大推广了之前的某些结果。最后，举例说明了这些结果的可行性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The averaging principle of Hilfer fractional stochastic pantograph equations with non-Lipschitz conditions

This paper is devoted to presenting an averaging principle for Hilfer fractional stochastic differential pantograph equations (HFSDPEs). The probability of the solutions to averaged stochastic systems in the means square sence can be used to approximate the solutions to HFSDPEs under appropriate non-Lipschitz conditions. Furthermore, certain previous results have been significantly generalised by our results. Finally, an example is given to demonstrate the feasibility of the results.

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