On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

被引：72

作者：

Abdeljawad, Thabet ^{[1
]}

Jarad, Fahd ^{[1
]}

Baleanu, Dumitru ^{[1
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 10期

关键词：

fractional Caputo derivative; C-r-condition; delay; Lipschitz;

D O I：

10.1007/s11425-008-0068-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.

引用

页码：1775 / 1786

页数：12

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