FRACTIONAL NONLOCAL INTEGRODIFFERENTIAL EQUATIONS OF MIXED TYPE WITH TIME-VARYING GENERATING OPERATORS AND OPTIMAL CONTROL

被引：13
|
作者：
Wang, JinRong [1 ]
Wei, W. [1 ]
Yang, YanLong [2 ]
机构：
[1] Guizhou Univ, Coll Sci, Guiyang 550025, Guizhou, Peoples R China
[2] Guizhou Univ, Coll Technol, Guiyang 550004, Guizhou, Peoples R China
来源：
OPUSCULA MATHEMATICA | 2010年 / 30卷 / 02期
基金：
中国国家自然科学基金;
关键词：
fractional integrodifferential equations of mixed type; time-varying generating operators; nonlocal conditions; fixed point theorem; existence; optimal control;
D O I：
10.7494/OpMath.2010.30.2.217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a class of fractional integrodifferential equations of mixed type with time -varying generating operators and nonlocal conditions is considered. Using a contraction mapping principle and Krasnoselskii's fixed point theorem via Gronwall's inequailty, the existence and uniqueness of mild solution are given. The existence of optimal pairs of systems governed by fractional integrodifferential equations of mixed type with time -varying generating operators and nonlocal conditions is also presented.
引用
收藏
页码：217 / 234
页数：18
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