MAXIMUM PRINCIPLES FOR A CLASS OF GENERALIZED TIME-FRACTIONAL DIFFUSION EQUATIONS

被引：6

作者：

Zeng, Shengda ^{[1
,3
]}

Migorski, Stanislaw ^{[2
,3
]}

Van Thien Nguyen ^{[4
]}

Bai, Yunru ^{[3
]}

机构：

[1] Yulin Normal Univ, Guangxi Coll & Univ Key Lab Complex Syst Optimiza, Yulin 537000, Peoples R China

[2] Chengdu Univ Informat Technol, Coll Appl Math, Chengdu 610225, Sichuan, Peoples R China

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

[4] FPT Univ, Dept Math, Educ Zone, Thach Ward, Hoa Lac High Tech Pk,Km29 Thang Long Highway, Hanoi, Vietnam

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 03期

基金：

欧盟地平线“2020”;

关键词：

maximum principles; extremum principles; variable-order fractional calculus; time-space fractional diffusion equation; Riesz-Caputo fractional derivative;

D O I：

10.1515/fca-2020-0041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two significant inequalities for generalized time fractional derivatives at extreme points are obtained. Then, we apply the inequalities to establish the maximum principles for multi-term time-space fractional variable-order operators. Finally, we employ the principles to investigate two kinds of diffusion equations involving generalized time-fractional Caputo derivatives and space-fractional Riesz-Caputo derivatives.

引用

页码：822 / 836

页数：15

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