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
收藏
页码：822 / 836
页数：15
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