Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this
paper, we introduce a class of new fractional derivative named general conformable …

We examine developments in the study of quantum turbulence with a special focus on
clearly defining many of the terms used in the field. We critically review the diverse …

The high plasma temperatures expected at reactor conditions in magnetic confinement
fusion toroidal devices suggest that near-marginal operation could be a reality in future …

We study regularity for a parabolic problem with fractional diffusion in space and a fractional
time derivative. Our main result is a De Giorgi–Nash–Moser Hölder regularity theorem for …

This three-volume series presents the ideas, models and approaches essential to
understanding plasma dynamics and self-organization for researchers and graduate …

The continuous time random walk (CTRW) is a natural generalization of the Brownian
random walk that allows the incorporation of waiting time distributions ψ (t) and general …

Variable-order fractional diffusion equation model is a recently developed and promising
approach to characterize time-dependent or concentration-dependent anomalous diffusion …

By analyzing trajectories of solid hydrogen tracers, we find that the distributions of velocity in
decaying quantum turbulence in superfluid He 4 are strongly non-Gaussian with 1/v 3 power …

This paper investigates Cauchy problems for nonlinear fractional time–space generalized
Keller–Segel equation D t β 0 c ρ+(−△) α 2 ρ+∇⋅(ρ B (ρ))= 0, where Caputo derivative D t β …

Fractional differential operators provide an attractive mathematical tool to model effects with
limited regularity properties. Particular examples are image processing and phase field …