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Research articles

ScienceAsia 43 (2017): 201-206 |doi: 10.2306/scienceasia1513-1874.2017.43.201

Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions

Wengui Yanga,b,*, Yaping Qinc

ABSTRACT:     We investigate the existence of positive solutions for a class of nonlinear Hadamard fractional differential equations with integral boundary conditions. By using the properties of Green's functions and the Krasnoselskii-Zabreiko fixed point theorem, two new existence results for at least one positive solution are obtained. Two examples are given to illustrate the main results.

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a School of Mathematics, Southeast University, Nanjing 210096, China
b Ministry of Public Education, Sanmenxia Polytechnic, Sanmenxia 472000, China
c Institute of Electrical and Electronic Engineering, Kaifeng University, Kaifeng 475004, China

* Corresponding author, E-mail: wgyang0617@yahoo.com

Received 10 Nov 2016, Accepted 10 Jul 2017