Solving Inverse Problem of Distributed-Order Time-Fractional Diffusion Equations Using Boundary Observations and L2 Regularization
Author:
Affiliation:
1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252000, China
2. School of Mathematical Sciences, Zhejiang University, Hangzhou 310058, China
3. College of Sciences, China Jiliang University, Hangzhou 310018, China
Abstract
Funder
Shandong Province Natural Science Foundation
Research Fund for the Doctoral Program of Liaocheng University
“Guangyue Young Scholar Innovation Team” of Liaocheng University
Publisher
MDPI AG
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Link
https://www.mdpi.com/2227-7390/11/14/3101/pdf
Reference41 articles.
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2. Time-fractional diffusion of distributed order;Mainardi;J. Vib. Control,2008
3. Stochastic model for ultraslow diffusion;Meerschaert;Stoch. Process. Their Appl.,2006
4. Sokolov, I., Chechkin, A., and Klafter, J. (2004). Distributed-order fractional kinetics. arXiv.
5. Distributed order time fractional diffusion equation;Chechkin;Fract. Calc. Appl. Anal.,2003
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