REGULARITY FOR A NON-LOCAL DIFFUSION EQUATION WITH RIEMANN-LIOUVILLE DERIVATIVE

被引：1

作者：

Tuan, Nguyen Hoang ^{[1
,2
]}

Kumar, Devendra ^{[3
]}

Nguyen, Anh Tuan ^{[4
,5
]}

机构：

[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam

[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam

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

[4] Van Lang Univ, Ho Chi Minh City, Vietnam

[5] Van Lang Univ, Fac Appl Technol, Sch Technol, Ho Chi Minh City, Vietnam

来源：

THERMAL SCIENCE | 2023年 / 27卷 / Special Issue 1期

关键词：

fractional diffusion equation; Riemman-Liouville; regularity;

D O I：

10.2298/TSCI23S1373T

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Our main goal in this paper is to investigate the regularity of the mild solution fractional diffusion equation which can be used in the modelling of heat trans-fer with memory effects. Under some various assumptions of the input data, we obtain two main results. We also provide the upper bound and lower bound of the source function. The main tool is to use complex evaluations involving the Wright function.

引用

页码：S373 / S382

页数：10

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