Abstract

This study establishes some new maximum principle which will help to investigate an IBVP for multi-index Hadamard fractional diffusion equation. With the help of the new maximum principle, this paper ensures that the focused multi-index Hadamard fractional diffusion equation possesses at most one classical solution and that the solution depends continuously on its initial boundary value conditions.

Details

Title
Maximum principle and its application to multi-index Hadamard fractional diffusion equation
Author
Ren, Xueyan 1 ; Wang, Guotao 2   VIAFID ORCID Logo  ; Bai, Zhanbing 3 ; El-Deeb, A A 4 

1  School of Mathematics and Computer Science, Shanxi Normal University, Linfen, People’s Republic of China 
2  School of Mathematics and Computer Science, Shanxi Normal University, Linfen, People’s Republic of China; College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, People’s Republic of China; Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia 
3  College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, People’s Republic of China 
4  Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo, Egypt 
Pages
1-8
Publication year
2019
Publication date
Nov 2019
Publisher
Hindawi Limited
ISSN
16872762
e-ISSN
16872770
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13661-019-01299-y
ProQuest document ID
2319666607
Copyright
Boundary Value Problems is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.