Existence and controllability results for fractional semilinear differential inclusions

被引：196

作者：

Wang, JinRong ^{[2
]}

Zhou, Yong ^{[1
]}

机构：

[1] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

[2] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fractional semilinear differential inclusions; Existence; Controllability; Bohnenblust-Karlin's fixed point theorem; NONLOCAL INITIAL CONDITIONS; BANACH-SPACES; INTEGRODIFFERENTIAL INCLUSIONS; EVOLUTION-EQUATIONS; BOUNDARY-CONDITIONS; SYSTEMS;

D O I：

10.1016/j.nonrwa.2011.06.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the existence and controllability results for fractional semilinear differential inclusions involving the Caputo derivative in Banach spaces. The results are obtained by using fractional calculation, operator semigroups and Bohnenblust-Karlin's fixed point theorem. At last, an example is given to illustrate the theory. (C) 2011 Elsevier Ltd. All rights reserved.

引用

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页码：3642 / 3653

页数：12

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