Stability of fractional order of time nonlinear fractional diffusion equation with Riemann-Liouville derivative

被引：8

作者：

Le Dinh Long ^{[1
,2
]}

Ho Duy Binh ^{[3
,4
,5
]}

Kumar, Devendra ^{[6
]}

Nguyen Hoang Luc ^{[7
]}

Nguyen Huu Can ^{[8
]}

机构：

[1] Van Lang Univ, Sci & Technol Adv Inst, Div Appl Math, Ho Chi Minh City, Vietnam

[2] Van Lang Univ, Fac Technol, Ho Chi Minh City, Vietnam

[3] HCMC Univ Technol, Fac Appl Sci, Dept Appl Math, Ho Chi Minh City, Vietnam

[4] Vietnam Natl Univ, Ho Chi Minh City, Vietnam

[5] Nguyen Hue Univ, Fac Fundamental Sci, Bien Hoa City, Vietnam

[6] Univ Rajasthan, Dept Math, Jaipur, Rajasthan, India

[7] Banking Univ Ho Chi Minh City, Dept Math Econ, Ho Chi Minh City, Vietnam

[8] Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, Vietnam

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2022年 / 45卷 / 10期

关键词：

continuity estimates; Dirichlet boundary value problem; fractional diffusion equation; Riemann-Liouville derivative; DIFFERENTIAL-EQUATIONS; CONTINUITY;

D O I：

10.1002/mma.8166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate an equation of nonlinear fractional diffusion with the derivative of Riemann-Liouville. Firstly, we determine the global existence and uniqueness of the mild solution. Next, under some assumptions on the input data, we discuss continuity with regard to the fractional derivative order for the time. Our key idea is to combine the theories Mittag-Leffler functions and Banach fixed-point theorem. Finally, we present some examples to test the proposed theory.

引用

页码：6194 / 6216

页数：23

共 22 条

[1] A double-logarithmically improved regularity criterion of weak solutions for the 3D MHD equations [J].