Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
759385 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 13 Pages |
Abstract
In this paper, we investigate the existence of positive solutions of singular super-linear (or sub-linear) integral boundary value problems for fractional differential equation involving Caputo fractional derivative. Necessary and sufficient conditions for the existence of C3[0, 1] positive solutions are given by means of the fixed point theorems on cones. Our nonlinearity f(t, x) may be singular at t = 0 and/or t = 1.
► We study positive solutions of integral boundary value problems with fractional order. ► Necessary and sufficient conditions of super-linear and or sub-linear are given. ► The tools are the fixed point theorems on cones. ► Nonlinearity f(t, x) may be singular at t = 0 and/or t = 1.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Mechanical Engineering
Authors
Zhongli Wei, Changci Pang, Youzheng Ding,