Maximum principle for Hadamard fractional differential equations involving fractional Laplace operator

被引：11

作者：

Wang, Guotao ^{[1
,2
]}

Ren, Xueyan ^{[1
]}

Baleanu, Dumitru ^{[3
,4
]}

机构：

[1] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen 041004, Shanxi, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China

[3] Fac Art & Sci, Dept Math, TR-06530 Balgat, Turkey

[4] Inst Space Sci, Magurele, Romania

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 05期

关键词：

fractional Laplace operator; Hadamard fractional derivative; maximum principle; uniqueness and continuous dependence; ELLIPTIC PROBLEM; OBSTACLE PROBLEM; RADIAL SYMMETRY; DIFFUSION; BOUNDARY; SYSTEMS; REGULARITY; EXISTENCE;

D O I：

10.1002/mma.6071

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of the current study is to investigate IBVP for spatial-time fractional differential equation with Hadamard fractional derivative and fractional Laplace operator(-Delta)(beta). A new Hadamard fractional extremum principle is established. Based on the new result, a Hadamard fractional maximum principle is also proposed. Furthermore, the maximum principle is applied to linear and nonlinear Hadamard fractional equations to obtain the uniqueness and continuous dependence of the solution of the IBVP at hand.

引用

页码：2646 / 2655

页数：10

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