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).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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
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     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},
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     volume = {2012},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2012__2012__a1/}
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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/