Study on Controllability for Ψ-Hilfer Fractional Stochastic Differential Equations
Year: 2024
Type: article
Abstract: 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.
Source: Fractal and Fractional
Authors: Abdur Raheem, Fahad M. Alamrani, Javed Akhtar, Adel Alatawi, Esmail Alshaban, Areefa Khatoon, Faizan Ahmad Khan
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,069
OpenAlex ID: W4405281254