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

ISBN-10: 9814340588

ISBN-13: 9789814340588

ISBN-10: 9814340596

ISBN-13: 9789814340595

ISBN-10: 981446080X

ISBN-13: 9789814460804

This quantity offers 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 thought. The members are chosen in keeping with their lively and demanding contributions to their respective issues. This quantity is the 1st of its type that covers this kind of accomplished variety of subject matters in fractional dynamics. it's going to indicate to complex undergraduate and graduate scholars, and younger researchers the potential instructions of study during this subject.

In addition to people who intend to paintings during this box and people already within the box, this quantity can be worthy for researchers in some way eager about the sphere, yet need to know the present prestige and traits of improvement during this topic. This latter crew 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 strong 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 transformed sorts of Distributed-Order Fractional Diffusion Equations (A Chechkin, I M Sokolov and J Klafter)

Anomalous shipping 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 approaches (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 methods and varied Univesality sessions (I Goychuk and P Hänggi)

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

A type of CTRWs: Compound Fractional Poisson procedures (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 structures (V E Tarasov)

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

Readership: Researchers in mathematical physics.