Existence and multiplicity of positive solutions for \(m\)-point nonlinear fractional differential equations on the half line
Electronic journal of differential equations, Tome 2012 (2012)
In this article we find sufficient conditions for existence and multiplicity of positive solutions for an m-point nonlinear fractional boundary-value problem on an infinite interval. Moreover, we prove that the set of positive solutions is compact. Nonexistence results for the boundary-value problem also are obtained.
Classification :
34A08, 34B10, 34B15, 34B18
Keywords: fractional derivative, fixed point theorem, positive solution
Keywords: fractional derivative, fixed point theorem, positive solution
@article{EJDE_2012__2012__a1,
author = {Ghanbari, Kazem and Gholami, Yousef},
title = {Existence and multiplicity of positive solutions for \(m\)-point nonlinear fractional differential equations on the half line},
journal = {Electronic journal of differential equations},
year = {2012},
volume = {2012},
zbl = {1290.34007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a1/}
}
TY - JOUR AU - Ghanbari, Kazem AU - Gholami, Yousef TI - Existence and multiplicity of positive solutions for \(m\)-point nonlinear fractional differential equations on the half line JO - Electronic journal of differential equations PY - 2012 VL - 2012 UR - http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a1/ LA - en ID - EJDE_2012__2012__a1 ER -
%0 Journal Article %A Ghanbari, Kazem %A Gholami, Yousef %T Existence and multiplicity of positive solutions for \(m\)-point nonlinear fractional differential equations on the half line %J Electronic journal of differential equations %D 2012 %V 2012 %U http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a1/ %G en %F EJDE_2012__2012__a1
Ghanbari, Kazem; Gholami, Yousef. Existence and multiplicity of positive solutions for \(m\)-point nonlinear fractional differential equations on the half line. Electronic journal of differential equations, Tome 2012 (2012). http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a1/