作者：张海著
页数：145
出版社：安徽大学出版社
出版日期：2018
ISBN：9787566415547
电子书格式：PDF
PDF下载地址
内容简介
本书介绍分数阶时滞微分方程的基本理论，并重点阐述分支问题研究的主要方法。
作者简介
张海，博士，安庆师范大学数学学院副院长，教授, 硕士生导师。研究方向为分数阶系统理论及应用研究, 已在国内外重要学术期刊发表论文30余篇, 其中SCI收录15篇。
本书特色
由安徽大学出版社出版的《分数阶时滞微分方程的研究》一书，所著内容是国际学者广泛关注的分数阶时滞微分方程，但市场上此研究的专著较少，本书所研究的分数阶系统相比现有研究，能更精确描述实际系统，而且书中运用现代数学理论来分析系统，充分考虑时滞对分数阶系统的影响。
目录
1．1 Fractional Calculus
1．2 Outline of This Book
Chapter 2 Overview of Solutions to Fractional ODEs
2．1 Existence Results of Fractional ODEs on a Finite Interval of the Real Axis
2．2 Global Solutions to ODEs with the Riemann-Liouville Derivative
2．3 Local Solutions to ODEs with the Riemann-Liouville Derivative
2．4 The Cauchy Problems of ODEs with the Caputo Derivative
Chapter 3 Existence of Nonlinear FFDEs
3．1 Problem Formulation
3．2 Definitions and Lemmas
3．3 Existence Results of Fractional-Order FDEs
3．4 An Illustrative Example
Chapter 4 Solutions of Linear Fractional Delayed Differential Equations
4．1 On the Solution of Fractional Delayed Differential Systems
4．2 General Solution of Linear Fractional Neutral DDEs
4．3 Variation of Constant Formulae for Fractional DDEs
Chapter 5 Stability of Fractional Delayed Differential Equations
5．1 Stability of Fractional Linear Singular Delayed Differential Systems
5．2 Stability of Fractional Neutral Dynamical Systems with Multiple Delays
5．3 Finite-Time Stability of Fractional Distributed Delayed Neural Networks
Chapter 6 Controllability of Fractional Delayed Differential Systems
6．1 Controllability Criteria for Linear Fractional Differential Systems with State
Delay andlmpulses
6．2 Reachability and Controllability of Fractional Singular Dynamical Systems
with Control Delay
References