Jingfu Jin, Xiping Liu, Mei Jia
Abstract:
This article shows the existence of a positive solution
for the singular fractional differential equation with integral
boundary condition
where
is a parameter and the nonlinear term is allowed to
be singular at t=0, 1 and u=0.
We obtain an explicit interval for
such that for any
in
this interval, existence of at least one positive solution is guaranteed.
Our approach is by a fixed point theory in cones combined with linear
operator theory.
Submitted January 17, 2012. Published April 19, 2012.
Math Subject Classifications: 34B16, 34B18, 26A33
Key Words: Caputo derivative; fractional differential equations;
positive solutions; integral boundary conditions;
singular differential equation
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Jingfu Jin College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: jinjingfu2005@126.com | |
Xiping Liu College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: xipingliu@163.com | |
Mei Jia College of Science University of Shanghai for Science and Technology Shanghai 200093, China email: jiamei-usst@163.com |
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