Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations

Author:

Cheng Xing1,Li Zhiyuan2,Yamamoto Masahiro2

Affiliation:

1. College of Science; Hohai University; Nanjing 210098 Jiangsu China

2. Graduate School of Mathematical Sciences; The University of Tokyo; 3-8-1 Komaba, Meguro-ku Tokyo 153-8914 Japan

Funder

The Fundamental Research Funds for the Central Universities

Grant-in-Aid for Scientific Research

Grant-in-Aid for Challenging Exploratory Research

A3 Foresight Programs ‘Modeling and Computation of Applied Inverse Problems’ of Japan Society of the Promotion of Science

Publisher

Wiley

Subject

General Engineering,General Mathematics

Reference40 articles.

1. The random walk's guide to anomalous diffusion: a fractional dynamics approach;Metzler;Physics reports,2000

2. Continuous-time random walks and the fractional diffusion equation;Roman;Journal of Physics A: Mathematical and General,1994

3. Time-fractional diffusion equation in the fractional Sobolev spaces;Gorenflo;Fractional Calculus and Applied Analysis,2015

4. Stochastic foundations of fractional dynamics;Compte;Physical Review E,1996

5. Fractional diffusion and Lévy stable processes;West;Physical Review E,1997

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