Abstract

In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.

Details

Title
Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives
Author
Wang Shuqi 1 ; Bai Zhanbing 1   VIAFID ORCID Logo 

1  Shandong University of Science and Technology, College of Mathematics and System Science, Qingdao, P.R. China (GRID:grid.412508.a) (ISNI:0000 0004 1799 3811) 
Publication year
2020
Publication date
Dec 2020
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-020-03154-2
ProQuest document ID
2473305582
Copyright
© The Author(s) 2020. 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.