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

被引：0

作者：

N. D. Cong

H. T. Tuan

机构：

[1] Vietnam Academy of Science and Technology,Institute of Mathematics

来源：

Mediterranean Journal of Mathematics | 2017年 / 14卷

关键词：

Fractional differential equations; delay differential equations with fractional derivatives; existence and uniqueness; growth and boundedness; 26A33; 34A08; 34A12; 34K12;

D O I：

暂无

中图分类号：

学科分类号：

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

共 50 条

[1] Existence, Uniqueness, and Exponential Boundedness of Global Solutions to Delay Fractional Differential Equations
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[9] EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS OF CAPUTO-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS
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[10] Existence and uniqueness of global solutions of caputo-type fractional differential equations
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