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

被引：74
|
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.
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页码：13615 / 13632
页数：18
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