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<p>Using the Caputo fractional derivative, the solution of new class of fractional stochastic differential equation is given by means of the Wick and the convolution products. This solution is shown to be Wick positive. Moreover, we give regularity propriety, based on a topological dual space of an infinite dimensional test space of holomorphic functions.</p>

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A Caputo stochastic differential equation in infinite dimensional distribution case

  • 期刊论文

  • 发表日期：

    2026年5月8日

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  • Hafedh Rguigui

摘要

Using the Caputo fractional derivative, the solution of new class of fractional stochastic differential equation is given by means of the Wick and the convolution products. This solution is shown to be Wick positive. Moreover, we give regularity propriety, based on a topological dual space of an infinite dimensional test space of holomorphic functions.