WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Positive Solutions for Nonlocal Boundary Value Problems of Fractional Differential Equation
Authors: ,
Abstract: In this paper, we investigate the existence, uniqueness and multiplicity of positive solutions for nonlocal boundary value problems of fractional differential equation. Firstly, we reduce the problem considered to the equivalent integral equation. Secondly, the existence and uniqueness of positive solution is obtained by the use of contraction map principle and some Lipschitz-type conditions. Thirdly, by means of some fixed point theorems, some results on the multiplicity of positive solutions are obtained.