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
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