Approximate Controllability for Functional Equations with Riemann-Liouville Derivative by Iterative and Approximate Method

被引：9

作者：

Ibrahim, Badawi Hamza Elbadawi ^{[1
]}

Fan, Zhenbin ^{[1
]}

Li, Gang ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 225002, Jiangsu, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2017年 / 2017卷

关键词：

STOCHASTIC DIFFERENTIAL-EQUATIONS; FRACTIONAL BROWNIAN-MOTION; EVOLUTION-EQUATIONS; SYSTEMS;

D O I：

10.1155/2017/2508165

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the functional control systems governed by differential equations with Riemann-Liouville fractional derivative in general Banach spaces in the present paper. First we derive the uniqueness and existence of mild solutions for functional differential equations by the approach of fixed point and fractional resolvent under more general settings. Then we present new sufficient conditions for approximate controllability of functional control system by means of the iterative and approximate method. Our results unify and generalize some previous works on this topic.

引用

页数：7

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