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 and Impulses

6.2 Reachability and Controllability of Fractional Singular Dynamical Systems with Control Delay

References