本书是高校教师学术专著，详细介绍了连续时间随机游走理论，反常扩散过程由微观粒子流平衡方程到中观反常扩散方程的建立，本书详细介绍了连续时间随机游走理论，反常扩散过程由微观粒子随机跳跃和随机等待出发，经中观粒子流平衡假设，到宏观反常扩散方程的建立，重点研究了几类连续时间随机游走的广义模型，如流体场中连续时间随机游走、带有系统年龄的连续时间随机游走和粒子随机等待时间依赖于先前跳跃步长的连续时间随机游走，借此揭示处于复杂多孔介质中迁移扩散的物质粒子，在反常扩散、化学反应、流体场、系统年龄以及等待时间能量依赖等诸多因素共同作用下的粒子浓度演化机理，并由几类连续时间随机游走广义主方程出发，推导建立了相应的分数阶反应—反常扩散系统。

Chapter 1 Classical Random Walks Models and Anomalous Diffusion Equations
1．1 Discrete Time Random Walk
1．2 Continuous Time Random Walks
1．3 Fractional Anomalous Diffusion Equations
Charter 2 Generalized Continuous Time Random Walks
2．1 Continuous Time Random Walks in Moving Fluid
2．2 Aging Continuous Time Random Walks
2．3 Continuous Time Random Walks with Random Waiting Time Depending on the Preceding Jump Length
Chapter 3 Mesoscopic Description of Reaction-Anomalous Diffusion Processes
3．1 Classical Reaction-Diffusion System
3．2 Creation and Annihilation Processes under Anomalous Diffusion
3．3 CTRW with A→B Reaction
Chapter 4 Reaction-Subdiffusion on Moving Fluids
4．1 CTRW Scheme for A Particles and Corresponding ADRE
4．2 CTRW Scheme for B Particles and Corresponding ADRE
Chapter 5 Reaction-subdiffusion System with Space-dependent Anomalous Exponent
5．1 Continuous Time Random Walks with A -， B Reaction in Flows
5．2 Generalized Master Equation and Fractional Advection Diffusion Reaction Equation for the Density of A Particles
5．3 Generalized Master Equation and Fractional Advection Diffusion Reaction Equation for the Density of B Particles
Chapter 6 Aging Continuous Time Random Walks in Fluids
6．1 Aging Continuous Time Random Walk in Fluids
6．2 Generalized Aging Advection Diffusion Equation
……
Chapter 7 Aging Continuous Time Random Walks with A→B Reaction
Chapter 8 Aging Effects in Coupled Fluid Flow and Anomalous Reactive Transport
Chapter 9 Reaction-Subdiffusion with Random Waiting Time Depending on the Preceding Jump Length
Chapter 10 Fluid Reactive Anomalous Transport with Random Waiting Time Depending on the Preceding Jump Length
References
Appendix