A discussion on the approximate controllability of Hilfer fractional neutral stochastic integro-differential systems

被引：69

作者：

Dineshkumar, C. ^{[1
]}

Udhayakumar, R. ^{[1
]}

Vijayakumar, V. ^{[1
]}

Nisar, Kottakkaran Sooppy ^{[2
]}

机构：

[1] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India

[2] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

CHAOS SOLITONS & FRACTALS | 2021年 / 142卷

关键词：

Hilfer fractional evolution equations; Approximate controllability; Neutral systems; Nonlocal conditions; Stochastic integro-differential equations; DIFFERENTIAL-INCLUSIONS; EQUATIONS; EVOLUTION; EXISTENCE; DELAY;

D O I：

10.1016/j.chaos.2020.110472

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This manuscript is mainly focusing on the approximate controllability of Hilfer fractional neutral stochastic integro-differential equations. The principal results of this article are proved based on the theoretical concepts related to the fractional calculus and Schauder's fixed-point theorem. Initially, we discuss the approximate controllability of the fractional evolution system. Then, we extend our results to the concept of nonlocal conditions. Finally, we provide theoretical and practical applications to assist in the effectiveness of the discussion. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：12

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