The goal of this paper is to study the existence of a mild solution and controllability for a class of neutral stochastic differential equations (SDEs) involving the Ψ-Hilfer fractional derivatives, a generalization of the well-known Riemann–Liouville fractional derivative using almost sectorial operators. Sufficient conditions for controllability are established using the notion of measure of noncompactness (MNC) and the Mönch fixed-point theorem. An example is given to illustrate the abstract findings.

Abdur Raheem

Fahad M. Alamrani

Javed Akhtar

Adel Alatawi

Esmail Alshaban

Areefa Khatoon

Faizan Ahmad Khan

Fractal and Fractional

Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations

关于Ψ-Hilfer分数阶随机微分方程可控性的研究

Category	Quartile
数学	2
数学, 数学跨学科应用	1

Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations

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Journal Info

Category	Quartile
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS	1