Title of article
Positive solutions of singular Caputo fractional differential equations with integral boundary conditions
Author/Authors
Wei، نويسنده , , Zhongli and Pang، نويسنده , , Changci and Ding، نويسنده , , Youzheng، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2012
Pages
13
From page
3148
To page
3160
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.
Keywords
Caputo fractional derivatives , Singular integral boundary value problem , Positive solution , Fixed Point Theorem , Fractional differential equation
Journal title
Communications in Nonlinear Science and Numerical Simulation
Serial Year
2012
Journal title
Communications in Nonlinear Science and Numerical Simulation
Record number
1537151
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