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

• 作者: Xiaogang Liu
• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 关键词: 分数阶微分方程 非线性 存在唯一解 SCHAUDER不动点定理 时滞 压缩映射原理 存在唯一性 充分条件
• 年，卷（期）: yysxnkywb,（2）
• 页码范围: 157-165
• 页数: 9页
• 分类号: O175.8

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.