Fractional diffusion in inhomogeneous media

By Aleksei V. Chechkin, Rudolf Gorenflo, Igor M. Sokolov. 2005

261 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3f0901fa085dc62ee87cd78fe0e2a0678434a7f3

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Yuri Luchko
2. Yury F. Luchko
3. Wen Chen
4. Rudolf Gorenflo
5. Jinyang Zhang
6. Jianjun Zhang
7. Hongguang Sun
8. A. Chang

In Modeling and Simulation

1. Yuri Luchko
2. Abdon Atangana
3. Wen Chen
4. Yury F. Luchko
5. Rudolf Gorenflo
6. Dumitru Băleanu
7. Aydin Seçer
8. Yong Zhang

In Numerical Analysis

1. Yuri Luchko
2. Yury F. Luchko
3. Wen Chen
4. Abdon Atangana
5. Rudolf Gorenflo
6. Jinyang Zhang
7. Jianjun Zhang
8. Hongguang Sun

Citations in the corpus

• A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications (2019, background): “The left-side and right-side VO Riemann-Liouville fractional derivatives are stated as [19]”
• General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems (2016, unknown): “[2]-[4], [21], [27] and references therein).”
• Fundamental solution of a distributed order time-fractional diffusion-wave equation as probability density (2013, background): “In [3] and [8], fractional diffusion in inhomogeneous media was investigated.”
• A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions (2013, background): “However, it has been found that the constant order fractional diffusion equations are not capable of characterizing some complex diffusion processes, for instance, diffusion process in inhomogeneous or heterogeneous medium [22].”
• A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures (2012, background): “However, the chloride transport in saturated concrete is a quite complicated diffusion-binding process and characterizes time and concentration dependency, which is quite difficult to be described only by a constant-order fractional diffusion equation model [5, 24].”
• BOUNDARY VALUE PROBLEMS FOR THE GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATION OF DISTRIBUTED ORDER (2009, background): “[3], [6]-[10], [15], [16], [18], [19], [21] and references there) during the last few decades.”