Maximum principles for time-fractional Caputo-Katugampola diffusion equations
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Authors
Liang Cao
- School of Automation, Guangdong University of Technology, Guangzhou, 510006, P. R. China.
Hua Kong
- Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, P. R. China.
Sheng-Da Zeng
- Data Recovery Key Laboratory of Sichuan Province, College of Mathematics and Information Science, Neijiang Normal University, Neijiang 641100, P. R. China.
- Institute of Computer Science, Faculty of Mathematics and Computer Science, Jagiellonian University, ul. Lojasiewicza 6, 30-348 Krakow, Poland.
Abstract
Maximum and minimum principles for time-fractional Caputo-Katugampola diffusion operators are proposed in this paper.
Several inequalities are proved at extreme points. Uniqueness and continuous dependence of solutions for fractional diffusion
equations of initial-boundary value problems are considered.
Share and Cite
ISRP Style
Liang Cao, Hua Kong, Sheng-Da Zeng, Maximum principles for time-fractional Caputo-Katugampola diffusion equations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 2257--2267
AMA Style
Cao Liang, Kong Hua, Zeng Sheng-Da, Maximum principles for time-fractional Caputo-Katugampola diffusion equations. J. Nonlinear Sci. Appl. (2017); 10(4):2257--2267
Chicago/Turabian Style
Cao, Liang, Kong, Hua, Zeng, Sheng-Da. "Maximum principles for time-fractional Caputo-Katugampola diffusion equations." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 2257--2267
Keywords
- Caputo-Katugampola fractional operators
- fractional diffusion equations
- maximum principles
- uniqueness
- continuous dependence.
MSC
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