Existence, Uniqueness, and Exponential Boundedness of Global Solutions to Delay Fractional Differential Equations

被引：48

作者：

Cong, N. D. ^{[1
]}

Tuan, H. T. ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, 18 Hoang Quoc Viet, Hanoi 10307, Vietnam

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 05期

关键词：

Fractional differential equations; delay differential equations with fractional derivatives; existence and uniqueness; growth and boundedness; STABILITY;

D O I：

10.1007/s00009-017-0997-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using properties of Mittag-Leffler functions, a weighted norm, and the Banach fixed point theorem, we establish a rigorous theorem on the existence and uniqueness of global solutions to delay fractional differential equations under a mild Lipschitz condition. Then, we provide a sufficient condition which guarantees these solutions to be exponentially bounded. Our theorems fill the gaps and also strengthen results in some existing papers.

引用

页数：12

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