Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter

Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter

In this paper, we study the existence of positive solutions for the following nonlinear fractional differential equations with integral boundary conditions:D0+αu(t)+h(t)f(t,u(t))=0,0

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Veröffentlicht in:Applied mathematics and computation 2014-01, Vol.226, p.708-718
Hauptverfasser: Zhang, Xingqiu, Wang, Lin, Sun, Qian
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Computation
Differential equations
Fixed point theorem
Fractional differential equation
Green’s function
Integral boundary conditions
Integrals
Mathematical analysis
Mathematical models
Nonlinearity
Positive solution
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Zusammenfassung:In this paper, we study the existence of positive solutions for the following nonlinear fractional differential equations with integral boundary conditions:D0+αu(t)+h(t)f(t,u(t))=0,0
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2013.10.089