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Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian

Existence and uniqueness of solutions for singular fractional differential equation boundary value problem with p-Laplacian

Authors :
Zhonghua Liu
Youzheng Ding
Chengwei Liu
Caiyi Zhao
Source :
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-12 (2020)
Publication Year :
2020
Publisher :
SpringerOpen, 2020.

Abstract

Abstract In this paper, we prove the existence and uniqueness of solutions for a singular fractional differential equation boundary value problem with p-Laplacian operator. The main results of this paper are obtained by constructing the monotone iterative sequences of upper and lower solutions and applying the comparison result. Finally, we also provide an illustrative example in support of the existence theorem. Our results generalize some related results in the literature.

Details

Language :
English
ISSN :
16871847
Volume :
2020
Issue :
1
Database :
Directory of Open Access Journals
Journal :
Advances in Difference Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.8fecd3dbae134b618e424338657231b9
Document Type :
article
Full Text :
https://doi.org/10.1186/s13662-019-2482-9