A New Result Concerning Nonlocal Controllability of Hilfer Fractional Stochastic Differential Equations via almost Sectorial Operators

Sivajiganesan Sivasankar, Ramalingam Udhayakumar (), Muchenedi Hari Kishor, Sharifah E. Alhazmi and Shrideh Al-Omari
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Sivajiganesan Sivasankar: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
Ramalingam Udhayakumar: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
Muchenedi Hari Kishor: Department of Analytics, School of Computer Science and Engineering, Vellore Institute of Technology, Vellore 632 014, Tamil Nadu, India
Sharifah E. Alhazmi: Mathematics Department, Al-Qunfudah University College, Umm Al-Qura University, Mecca 24382, Saudi Arabia
Shrideh Al-Omari: Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Amman 11134, Jordan

Mathematics, 2022, vol. 11, issue 1, 1-18

Abstract: This manuscript mainly focused on the nonlocal controllability of Hilfer fractional stochastic differential equations via almost sectorial operators. The key ideas of the study are illustrated by using ideas from fractional calculus, the fixed point technique, and measures of noncompactness. Then, the authors establish new criteria for the mild existence of solutions and derive fundamental characteristics of the nonlocal controllability of a system. In addition, researchers offer theoretical and real-world examples to demonstrate the effectiveness and suitability of our suggested solutions.

Keywords: Hilfer fractional derivative; stochastic differential system; nonlocal controllability; measures of noncompactness; Darbo–Sadovskii fixed-point theorem; almost sectorial operators (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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