图书介绍
分数阶时滞微分方程的研究PDF|Epub|txt|kindle电子书版本网盘下载
- 张海著 著
- 出版社： 合肥：安徽大学出版社
- ISBN：9787566415547
- 出版时间：2018
- 标注页数：145页
- 文件大小：13MB
- 文件页数：153页
- 主题词：时滞－微分方程－研究
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图书目录
Chapter 1 Introduction1
1.1 Fractional Calculus1
1.2 Outline of This Book5
Chapter 2 Overview of Solutions to Fractional ODEs9
2.1 Existence Results of Fractional ODEs on a Finite Interval of the Real Axis9
2.2 Global Solutions to ODEs with the Riemann-Liouville Derivative17
2.3 Local Solutions to ODEs with the Riemann-Liouville Derivative19
2.4 The Cauchy Problems of ODEs with the Caputo Derivative22
Chapter 3 Existence of Nonlinear FFDEs27
3.1 Problem Formulation27
3.2 Definitions and Lemmas29
3.3 Existence Results of Fractional-Order FDEs30
3.4 An Illustrative Example38
Chapter 4 Solutions of Linear Fractional Delayed Differential Equations40
4.1 On the Solution of Fractional Delayed Differential Systems40
4.2 General Solution of Linear Fractional Neutral DDEs45
4.3 Variation of Constant Formulae for Fractional DDEs55
Chapter 5 Stability of Fractional Delayed Differential Equations68
5.1 Stability of Fractional Linear Singular Delayed Differential Systems68
5.2 Stability of Fractional Neutral Dynamical Systems with Multiple Delays83
5.3 Finite-Time Stability of Fractional Distributed Delayed Neural Networks99
Chapter 6 Controllability of Fractional Delayed Differential Systems107
6.1 Controllability Criteria for Linear Fractional Differential Systems with State Delay and Impulses108
6.2 Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay121
References140