For EDITORS

For READERS

All Issues

Vol.10, 2020
Vol.9, 2019
Vol.8, 2018
Vol.7, 2017
Vol.6, 2016
Vol.5, 2015
Vol.4, 2014
Vol.3, 2013
Vol.2, 2012
Vol.1, 2011
Existence and multiplicity of positive solutions for a system of nonlinear fractional multi-point boundary value problems with $p$-Laplacian operator
Han Wang,Jiqiang Jiang
Keywords:fractional differential system; $p$-Laplacian operator; coupled boundary conditions; fixed point theorem.
Abstract:
      In this paper, we deal with a coupled system of nonlinear fractional multi-point boundary value problems with $p$-Laplacian operator. The existence and multiplicity of positive solutions are obtained by employing Leray-Schauder alternative theory, Leggett-Williams fixed point theorem and Avery-Henderson fixed point theorem. As an application, two examples are given to illustrate the effectiveness of our main results.