By Joseph Klafter, S. C. Lim, Ralf Metzler

This quantity presents the most recent advancements within the box of fractional dynamics, which covers fractional (anomalous) delivery phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum box conception. The members are chosen according to their energetic and demanding contributions to their respective subject matters. This quantity is the 1st of its sort that covers any such finished diversity of issues in fractional dynamics. it's going to indicate to complex undergraduate and graduate scholars, and younger researchers the potential instructions of analysis during this subject.

In addition to people who intend to paintings during this box and people already within the box, this quantity can also be helpful for researchers in a roundabout way eager about the sphere, yet need to know the present prestige and traits of improvement during this topic. This latter staff contains theoretical chemists, mathematical biologists and engineers.

Contents:

Classical Systems:

Anomalous Diffusion and Fractional delivery Equations (R Metzler and J-H Jeon)

Stochastic Diffusion and sturdy Noise-Induced Phenomena (B Dybiec and E Gudowska-Nowak)

Characteristic occasions of Anomalous Diffusion in a possible (W T Coffey, Y P Kalmykov and S V Titov)

Reactions in Subdiffusive Media and linked Fractional Equations (S B Yuste, E Abad and ok Lindenberg)

Natural and changed types of Distributed-Order Fractional Diffusion Equations (A Chechkin, I M Sokolov and J Klafter)

Anomalous delivery within the Presence of Truncated Lévy Flights (D del-Castillo-Negrete)

Anomalous Diffusion: From Fractional grasp Equations to direction Integrals (R Friedrich)

Fractional Feynman–Kac Equation for Anomalous Diffusion Functionals (S Carmi and E Barkai)

Foundations of Fractional Dynamics: a brief Account (R Hilfer)

Parametric Subordination in Fractional Diffusion procedures (R Gorenflo and F Mainardi)

Fractional Calculus, Anomalous Diffusion, and chance (M M Meerschaert)

Fractional Langevin Equation (E Lutz)

Subdiffusive Dynamics in Washboard Potentials: diversified ways and diversified Univesality periods (I Goychuk and P Hänggi)

Identification and Validation of Fractional Subdiffusion Dynamics (K Burnecki, M Magdziarz and A Weron)

A category of CTRWs: Compound Fractional Poisson strategies (E Scalas)

Origin of Allometry speculation (B J West and D West)

Quantum Systems:

Principles of Fractional Quantum Mechanics (N Laskin)

Two Examples of Fractional Quantum Dynamics (A Iomin)

Fractional Dynamics of Open Quantum platforms (V E Tarasov)

Casimir influence linked to Fractional Klein–Gordon box (S C Lim and L P Teo)

Readership: Researchers in mathematical physics.