4.7 Article

Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators

期刊

MATHEMATICS
卷 10, 期 12, 页码 -

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MDPI
DOI: 10.3390/math10122074

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Hilfer fractional (HF) system; neutral system; stochastic system; integro-differential system; almost sectorial operators; multivalued maps

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In this paper, we focus on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators. We utilize facts from fractional calculus, stochastic analysis theory, and the fixed point theorem for multivalued maps to prove the result. Additionally, we provide an illustration of the principle.
In our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators. The facts related to fractional calculus, stochastic analysis theory, and the fixed point theorem for multivalued maps are used to prove the result. In addition, an illustration of the principle is provided.

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