Complete controllability of nonlinear fractional neutral functional differential equations

被引：4

作者：

Wen, Yanhua ^{[1
]}

Xi, Xuan-Xuan ^{[2
]}

机构：

[1] Anhui Jianzhu Univ, Sch Math & Phys, Hefei, Peoples R China

[2] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Hunan, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2022年 / 2022卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Complete controllability; Fractional nonlinear neutral functional differential equation; Banach fixed-point theorem; Mild solution; APPROXIMATE CONTROLLABILITY; EVOLUTION-EQUATIONS; INTEGRODIFFERENTIAL-SYSTEMS; SEMILINEAR SYSTEMS; EXISTENCE;

D O I：

10.1186/s13662-022-03706-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the complete controllability of a nonlinear fractional neutral functional differential equation. Some sufficient conditions are established for the complete controllability of the nonlinear fractional system. The conditions are established based on the fractional power of operators and the fixed-point theorem under the assumption that the associated linear system is completely controllable. Finally, an example is presented to illustrate our main result.

引用

页数：11

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