ON INITIAL VALUE PROBLEM FOR DIFFUSION EQUATION WITH CAPUTO-FABRIZIO OPERATOR ON THE PLANE

被引：0

作者：

Minh, Vo ngoc ^{[1
,2
]}

Long, Le dinh ^{[3
]}

机构：

[1] Univ Sci, Fac Math & Comp Sci, 227 Nguyen Cu St, Ho Chi Minh City, Vietnam

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

[3] FPT Univ HCM, Fac Maths, Saigon Hitech Pk, Ho Chi Minh City, Vietnam

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 03期

关键词：

Caputo-Fabrizio operator; diffusion equation; Fourier transform; FRACTIONAL DIFFERENTIAL-EQUATIONS;

D O I：

10.3934/dcdss.2023196

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are interested in studying the diffusion equation with Caputo-Fabrizio derivative. This is the first time that the Caputo-Fabrizio problem on the R-2 domain has been studied. Under the various assumptions of the initial datum and the source functions, we provide the upper bound of the mild solution. We also obtain the upper bound of the first derivative and Caputo-Fabrizio derivative of the mild solution. In addition, we obtain the lower bound of the mild solution and its derivative.

引用

页码：1293 / 1309

页数：17

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