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EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH DELAY

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A CLASS OF NONLINEAR FRACTIONAL ORDER DIFFERENTIAL EQUATIONS WITH DELAY
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摘要 A class of nonlinear fractional order differential equations with delay is investigated in this paper. Using Leray-Schauder fixed point theorem and the contraction mapping theorem, we obtain some sufficient conditions for the existence and uniqueness of solutions to the fractional order differential equations. A class of nonlinear fractional order differential equations with delay is investigated in this paper. Using Leray-Schauder fixed point theorem and the contraction mapping theorem, we obtain some sufficient conditions for the existence and uniqueness of solutions to the fractional order differential equations.
作者 Xiaogang Liu
机构地区 Modern College of Northwest University
出处 《Annals of Differential Equations》 2014年第2期157-165,共9页 微分方程年刊（英文版）
关键词 fractional order differential equations SOLUTION EXISTENCE UNIQUENESS DELAY fractional order differential equations solution existence uniqueness delay
分类号 O175 [理学—基础数学]
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共引文献1

Annals of Differential Equations
2014年 第2期

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