Existence and multiplicity of positive solutions for singular fractional boundary value problems

In this paper, we discuss the existence and multiplicity of positive solutions for the singular fractional boundary value problem D0+αu(t)+f(t,u(t),D0+νu(t),D0+μu(t))=0,u(0)=u′(0)=u″(0)=u″(1)=0, where 3

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2012-05, Vol.63 (9), p.1369-1381
Main Authors: Bai, Zhanbing, Sun, Weichen
Format: Article
Language:English
Subjects:
Fixed point theorem
Fractional differential equation
Positive solution
Riemann–Liouville fractional derivative
Singular problem
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Summary:In this paper, we discuss the existence and multiplicity of positive solutions for the singular fractional boundary value problem D0+αu(t)+f(t,u(t),D0+νu(t),D0+μu(t))=0,u(0)=u′(0)=u″(0)=u″(1)=0, where 3
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.12.078