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

Advances in Difference Equations

article

Liu, Zhonghua¹  Ding, Youzheng²  Liu, Chengwei³  Zhao, Caiyi² 

[1] Yishui Campus, Linyi University;School of Science, Shandong Jianzhu University;School of Automation and Electrical Engineering, Linyi University

关键词: Fractional differential equation;    Monotone iterative technique;    Nonlinear boundary condition;    Upper and lower solutions;   

DOI  :  10.1186/s13662-019-2482-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY