Open AccessApproximate controllability of fractional neutral evolution systems of hyperbolic type
Author(s) -
XuanXuan Xi,
Mimi Hou,
XianFeng Zhou,
Yanhua Wen
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021035
Subject(s) - controllability , uniqueness , mathematics , type (biology) , sequence (biology) , pure mathematics , banach space , neutral theory of molecular evolution , function (biology) , fixed point , cauchy distribution , fixed point theorem , mathematical analysis , ecology , population , genetics , demography , evolutionary biology , sociology , biology
In this paper, we deal with fractional neutral evolution systems of hyperbolic type in Banach spaces. We establish the existence and uniqueness of the mild solution and prove the approximate controllability of the systems under different conditions. These results are mainly based on fixed point theorems as well as constructing a Cauchy sequence and a control function. In the end, we give an example to illustrate the validity of the main results.