Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory

Controllability of fractional stochastic evolution inclusion via Hilfer derivative of fixed point theory

In this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for th...

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Bibliographic Details
Main Authors: Abdelkader Moumen, Ammar Alsinai, Ramsha Shafqat, Nafisa A. Albasheir, Mohammed Alhagyan, Ameni Gargouri, Mohammed M. A. Almazah
Format: Article
Language:English
Published: AIMS Press 2023-06-01
Series:AIMS Mathematics
Subjects:
controllability
fractional calculus
fsd-inclusions
multi-valued maps
hilfer derivative
fixed point theory
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231014?viewType=HTML
Description
Summary:In this study, we use the Hilfer derivative to analyze the approximate controllability of fractional stochastic evolution inclusions (FSEIs) with nonlocal conditions. By assuming that the corresponding linear system is approximately controllable, we obtain a novel set of adequate requirements for the approximate controllability of nonlinear FSEIs in meticulous detail. The fixed-point theorem for multi-valued operators and fractional calculus are used to achieve the results. Finally, we use several instances to demonstrate our findings.
ISSN:2473-6988

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