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Aleksei V. Chechkin
Researcher at University of Potsdam
Publications - 220
Citations - 8821
Aleksei V. Chechkin is an academic researcher from University of Potsdam. The author has contributed to research in topics: Anomalous diffusion & Brownian motion. The author has an hindex of 47, co-authored 201 publications receiving 7415 citations. Previous affiliations of Aleksei V. Chechkin include Max Planck Society & National Academy of Sciences of Ukraine.
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Matrix approach to discrete fractional calculus II: Partial fractional differential equations
TL;DR: A new method that enables easy and convenient discretization of partial differential equations with derivatives of arbitrary real order (so-called fractional derivatives) and delays is presented and illustrated on numerical solution of various types of fractional diffusion equation.
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Retarding subdiffusion and accelerating superdiffusion governed by distributed-order fractional diffusion equations.
TL;DR: It is demonstrated that the distributed-order time fractional diffusion equation describes the subdiffusion random process that is subordinated to the Wiener process and whose diffusion exponent decreases in time (retarding sub Diffusion).
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Brownian yet Non-Gaussian Diffusion: From Superstatistics to Subordination of Diffusing Diffusivities
TL;DR: In this paper, a new mathematical model was proposed to reconcile this behavior with other hallmarks of Brownian motion, such as the random movement of microscopic particles in a fluid and the Gaussian probability of finding a particle at a particular place at a specific time.
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Fractional diffusion in inhomogeneous media
TL;DR: In this paper, the authors study the evolution of a composite system consisting of two separate regions with different sub-diffusion exponents and demonstrate the effects of non-trivial drift and subdiffusion whose laws are changed in the course of time.
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Anomalous diffusion and ergodicity breaking in heterogeneous diffusion processes
TL;DR: In this article, the authors demonstrate the non-ergodicity of a simple Markovian stochastic process with space-dependent diffusion coefficient D(x), which yields anomalous diffusion of the form hx 2 (t)i't 2/(2 ).