Maximum principles for time-fractional Caputo-Katugampola diffusion equations

被引：15

作者：

Cao, Liang ^{[1
]}

Kong, Hua ^{[2
]}

Zeng, Sheng-Da ^{[2
,3
]}

机构：

[1] Guangdong Univ Technol, Sch Automat, Guangzhou 510006, Guangdong, Peoples R China

[2] Neijiang Normal Univ, Coll Math & Informat Sci, Data Recovery Key Lab Sichuan Prov, Neijiang 641100, Peoples R China

[3] Jagiellonian Univ, Inst Comp Sci, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2017年 / 10卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Caputo-Katugampola fractional operators; fractional diffusion equations; maximum principles; uniqueness; continuous dependence;

D O I：

10.22436/jnsa.010.04.75

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2017 All rights reserved.

引用

页码：2257 / 2267

页数：11

共 29 条

[1] Maximum principle for the multi-term time-fractional diffusion equations with the Riemann-Liouville fractional derivatives [J].

Al-Refai, Mohammed ;

Luchko, Yuri .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 257 :40-51

[2] Maximum principle for the fractional diffusion equations with the Riemann-Liouville fractional derivative and its applications [J].

Al-Refai, Mohammed ;

Luchko, Yuri .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2014, 17 (02) :483-498

[3] A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations [J].

Bhrawy, A. H. ;

Zaky, M. A. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 281 :876-895

[4] Compositions of Hadamard-type fractional integration operators and the semigroup property [J].

Butzer, PL ;

Kilbas, AA ;

Trujillo, JJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 269 (02) :387-400

[5]

Cao L., 2017, J COMPUT COMPLEX APP, V3, P68

[6] Least-Squares Spectral Method for the solution of a fractional advection-dispersion equation [J].

Carella, Alfredo Raul ;

Dorao, Carlos Alberto .

JOURNAL OF COMPUTATIONAL PHYSICS, 2013, 232 (01) :33-45

[7] TIME-FRACTIONAL DIFFUSION EQUATION IN THE FRACTIONAL SOBOLEV SPACES [J].

Gorenflo, Rudolf ;

Luchko, Yuri ;

Yamamoto, Masahiro .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (03) :799-820

[8]

Katugampola UN, 2014, BULL MATH ANAL APPL, V6, P1

[9]

Kilbas A A., 2006, North-Holland Mathematical Studies, Vvol 204

[10] MAXIMUM PRINCIPLES FOR MULTI-TERM SPACE-TIME VARIABLE-ORDER FRACTIONAL DIFFUSION EQUATIONS AND THEIR APPLICATIONS [J].

Liu, Zhenhai ;

Zeng, Shengda ;

Bai, Yunru .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2016, 19 (01) :188-211

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