The proof of the almost everywhere regularity of solutions is then achieved via an extremely delicate combination of local linearization methods, together with a proper use of DiBenedetto's intrinsic geometry: the general approach that consists in performing the local analysis b…
1. Anomalous diffusion and fractional transport equations / R. Metzler and J.-H. Jeon -- 2. Stochastic diffusion and stable noise-induced phenomena / B. Dybiec and E. Gudowska-Nowak -- 3. Characteristic times of anomalous diffusion in a potential / W.T. Coffey, Y.P. Kalmykov and…
Fractional dynamics: recent advances
Fractional dynamics: recent advances
by Metzler, Ralf, Klafter, J., (Joseph), Lim, S. C.
Fractional dynamics: recent advances
by Metzler, Ralf, Klafter, J., (Joseph), Lim, S. C.
Fractional dynamics: recent advances
by Metzler, Ralf, Klafter, J., (Joseph), Lim, S. C.
This volume provides the latest developments in the field of fractional dynamics, which covers fractional (anomalous) transport phenomena, fractional statistical mechanics, fractional quantum mechanics and fractional quantum field theory. The contributors are selected based on t…
"Arnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the mo…