Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system

被引：76

作者：

Nisar, Kottakkaran Sooppy ^{[1
]}

Vijayakumar, V. ^{[2
]}

机构：

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

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

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 17期

关键词：

approximate controllability; Hilfer fractional derivative; infinite delay; mild solution; neutral system; Sobolev-type system; MILD SOLUTIONS; INCLUSIONS; EQUATIONS; EXISTENCE; ALPHA;

D O I：

10.1002/mma.7647

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this manuscript, our primary focus on the approximate controllability outcomes for non-densely defined Sobolev-type Hilfer fractional neutral differential system with infinite delay. By applying the findings and facts associated with fractional theory and the fixed-point method, the principal discussions are demonstrated. First, we focus on the existence and then discuss the approximate controllability. At last, we provide an example for the demonstration of theory.

引用

页码：13615 / 13632

页数：18

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