Fast-time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter

被引：6
作者：
Zhao, Daliang [1 ]
Liu, Yansheng [1 ]
Li, Haitao [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 10期
基金：
中国国家自然科学基金;
关键词：
controllability; fractional delay integrodifferential evolution equations; Kuratowski measure of noncompactness; mild solutions; Monch fixed point theorem; nonlocal conditions; DIFFERENTIAL-EQUATIONS; BOOLEAN NETWORKS; APPROXIMATE CONTROLLABILITY; DIFFUSION-EQUATIONS; CONTROL DESIGN; SYSTEMS; STATE; STABILITY; ORDER;
D O I：
10.1002/mma.7993
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, new controllability results for a class of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter have been derived under a new concept that we define as fast-time complete controllability. Nonlinearity here is only supposed to be continuous rather than Lipschitz continuous by contrast. The major tools we adopt are resolvent operator theory and the theory of nonlinear functional analysis. Theoretical and practical applications are presented to illustrate the effectiveness of the new abstract results.
引用
收藏
页码：5649 / 5669
页数：21
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