Distributed-Order Fractional Kinetics

Abstract

Fractional diffusion equations are widely used to describe anomalous diffusion processes where the characteristic displacement scales as a power of time. For processes lacking such scaling the corresponding description may be given by distributed-order equations. In the present paper we consider different forms of distributed-order fractional kinetic equations and investigate the effects described by different classes of such equations. In particular, the equations describing accelerating and decelerating subdiffusion, as well as the those describing accelerating and decelerating superdiffusion are presented.

Presented at the 16th Marian Smoluchowski Symposium on Statistical Physics: Fundamentals and Applications, September 6-11, 2003

Cited by in corpus (5)

• Distributed Order Calculus and Equations of Ultraslow Diffusion
• Some aspects of fractional diffusion equations of single and distributed order
• On relation between generalized diffusion equations and subordination schemes
• Lévy mixing related to distributed order calculus, subordinators and slow diffusions
• Stability of fractional-order linear time-invariant system with noncommensurate orders