Copyright © 2009 Yuansheng Tian and Anping Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We investigate the existence of
positive solution to nonlinear fractional differential equation
three-point singular boundary value problem:
, , , , where is a real number, , and is the standard Riemann-Liouville fractional derivative, and (i.e., is singular at ). By using
the fixed-point index theory, the existence result of positive
solutions is obtained.