Positive Solutions for (n - 1,1) -Type Singular Fractional Differential System with Coupled Integral Boundary Conditions

We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions...

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Bibliographic Details
Main Authors: Wang, Y., Liu, L., Zhang, X., Wu, Yong Hong
Format: Journal Article
Published: Hindawi Publishing Corporation 2014
Online Access:http://hdl.handle.net/20.500.11937/2813
Description
Summary:We study the positive solutions of the (n - 1,1)-type fractional differential system with coupled integral boundary conditions. The conditions for the existence of positive solutions to the system are established. In addition, we derive explicit formulae for the estimation of the positive solutions and obtain the unique positive solution when certain additional conditions hold. An example is then given to demonstrate the validity of our main results.