Title: Existence and non-existence of positive solutions for integral boundary value problems of high-order fractional differential equations with generalised p-Laplacian operator

Authors: Bingxian Li; Shurong Sun; Guanwei Chen

Addresses: School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, PR China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, PR China ' School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, PR China

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.

Keywords: fractional differential equations; generalised p-Laplacian operator; integral boundary value condition; monotone iteration method; positive solution.

DOI: 10.1504/IJDSDE.2017.083725

International Journal of Dynamical Systems and Differential Equations, 2017 Vol.7 No.1, pp.18 - 35

Received: 09 Apr 2016
Accepted: 10 Jul 2016
Published online: 20 Apr 2017 *

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