TY - JOUR
T1 - Positive solutions of nonlinear fractional boundary value problems with Dirichlet boundary conditions
AU - Kong, Qingkai
AU - Wang, Min
PY - 2012
Y1 - 2012
N2 - In this paper, we study the existence and multiplicity of positive solutions of a class of nonlinear fractional boundary value problems with Dirichlet boundary conditions. By applying the fixed point theory on cones we establish a series of criteria for the existence of one, two, any arbitrary finite number, and an infinite number of positive solutions. A criterion for the nonexistence of positive solutions is also derived. Several examples are given for demonstration.
AB - In this paper, we study the existence and multiplicity of positive solutions of a class of nonlinear fractional boundary value problems with Dirichlet boundary conditions. By applying the fixed point theory on cones we establish a series of criteria for the existence of one, two, any arbitrary finite number, and an infinite number of positive solutions. A criterion for the nonexistence of positive solutions is also derived. Several examples are given for demonstration.
UR - http://www.scopus.com/inward/record.url?scp=84863231941&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84863231941&partnerID=8YFLogxK
U2 - 10.14232/ejqtde.2012.1.17
DO - 10.14232/ejqtde.2012.1.17
M3 - Article
AN - SCOPUS:84863231941
SN - 1417-3875
SP - 1
EP - 13
JO - Electronic Journal of Qualitative Theory of Differential Equations
JF - Electronic Journal of Qualitative Theory of Differential Equations
ER -