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

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 a...

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Bibliographic Details
Main Authors: Zhonghua Liu, Youzheng Ding, Chengwei Liu, Caiyi Zhao
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2482-9
Description
Summary: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.
ISSN:1687-1847