Existence and non-existence of positive solutions for integral boundary value problems of high-order fractional differential equations with generalised p-Laplacian operator. Issue 1 (2017)

• Record Type: Journal Article
• Authors: Li, Bingxian; Sun, Shurong; Chen, Guanwei
• Is Part Of: International journal of dynamical systems and differential equations. Volume 7:Issue 1(2017)
• Page Start: 18
• Page End: 35
• Publication Date: 2017
• Subjects: fractional differential equations -- generalised p-Laplacian operator -- integral boundary value condition -- monotone iteration method -- positive solution; Differential equations -- Periodicals; 515.35
• Languages: English
• ISSNs: 1752-3583

Abstract

In this paper, we investigate the non-linear integral boundary value problem of fractional differential equations with generalised p-Laplacian operator. By means of the monotone iteration method, we obtain the existence of positive solutions and establish the iterative sequence for approximating the solutions. Moreover, the non-existence of positive solution is also considered. An example is given to show the applicability of our main results.