Existence of positive solutions for the boundary value problem of a nonlinear fractional differential equation
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 9
Abstract
In this paper, we deal with the following nonlinear fractional boundary value problem Dao+u(t) +f(t, u(t))= 0,0 < t < 1,4 < α <-5, u(0) = u (1) = u'(0)= u'(1)= u"(1)= 0 where Dao+is the standard Riemann-Liouville differential operator of order α . We give some properties of Green's function for the problem. By means of some fixed-point theorems on cone, some existence and multiplicity results of positive solutions are obtained. Moreover, some concrete examples are given respectively.
Authors and Affiliations
Xiulan Guo, Gongwei Liu
Keywords
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- EP ID EP651586
- DOI 10.24297/jam.v10i9.1897
- Views 125
- Downloads 0
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