N维非线性时滞分数阶微分方程初值问题的全局解

Abstract

Abstract:

The existence of global solutions of initial value problems (IVP) for differential equations is a precondition to study their stability in Lyapunov sense. This paper aims to investigate the existence of the global solutions of the IVP (1.10)-(1.11). The existence of a local solution of the IVP (1.10)-(1.11) is obtained first, which is an extension of the paper[14]. Then based on our extension theorem, we prove that the existence and uniqueness of the global solution of the IVP (1.10)-(1.11).

Key words: Nonlinear, Fractional, Existence, Delay, Global solution

CLC Number:

O175.14

Jun Wang,Tianlu Wang,Yanhua Wen,Xianfeng Zhou. Global Solutions of IVP for N-Dimensional Nonlinear Fractional Differential Equations with Delay[J].Acta mathematica scientia,Series A, 2018, 38(5): 903-910.

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References 32

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Global Solutions of IVP for N-Dimensional Nonlinear Fractional Differential Equations with Delay

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