Chapter 1 Introduction
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

本书简要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。全书共有6章，内容包括分别利用Banach不动点定理、Schauder不动点定理及逐步逼近法讨论非线性分数阶泛函微分方程的解的存在性条件，推广整数阶常微分方程和泛函微分方程的相应结果，以此证明非