Periodic solutions of quadratic Weyl fractional integral equations

被引：6

作者：

Chen, Qian ^{[1
]}

Wang, JinRong ^{[2
,3
]}

Chen, Fulai ^{[4
]}

Zhang, Yuruo ^{[2
]}

机构：

[1] Guizhou Univ, Inst New Type Optoelect Mat & Technol, Guiyang 550025, Guizhou, Peoples R China

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

[3] Guizhou Normal Coll, Sch Math & Comp Sci, Guiyang 550018, Guizhou, Peoples R China

[4] Xiangnan Univ, Dept Math, Chenzhou 423000, Hunan, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2014年 / 19卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Quadratic Weyl fractional integral equations; 2 pi-periodic solutions; Existence; Uniform local attractivity; DIFFERENTIAL-EQUATIONS; CAUCHY-PROBLEMS; EXISTENCE; CONTROLLABILITY; SYSTEMS; UNIQUENESS;

D O I：

10.1016/j.cnsns.2013.09.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study periodic solutions of quadratic Weyl fractional integral equations. We derive the convergence, periodicity, continuity and boundedness of Weyl kernel. With the help of these basic properties, we prove the existence of 2 pi-periodic solutions of the desired equation by using a technique of measure of noncompactness via Schauder fixed point theorem. Moreover, we obtain uniform local attractivity of the 2 pi-periodic solutions. Finally, an example is given to illustrate the obtained results. (C) 2013 Elsevier B.V. All rights reserved.

引用

页码：1945 / 1955

页数：11

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