Positive Solutions for a Weakly Singular Hadamard-Type Fractional Differential Equation with Changing-Sign Nonlinearity. (1st August 2020)

• Record Type: Journal Article
• Authors: Zhang, Xinguang; Yu, Lixin; Jiang, Jiqiang; Wu, Yonghong; Cui, Yujun
• Other Names: Motreanu Dumitru Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-08-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/5623589
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we focus on the existence of positive solutions for a class of weakly singular Hadamard-type fractional mixed periodic boundary value problems with a changing-sign singular perturbation. By using nonlinear analysis methods combining with some numerical techniques, we further discuss the effect of the perturbed term for the existence of solutions of the problem under the positive, negative, and changing-sign cases. The interesting points are that the nonlinearity can be singular at the second and third variables and be changing-sign.