Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

We establish the existence and uniqueness of a positive solution u for the fractional boundary value problem Dαu(x)=-a(x)uσ(x), x∈(0,1) with the condition limx→0Dα-1u(x)=0,  u(1)=0, where 1

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Veröffentlicht in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.841-846-491
Hauptverfasser: Maagli, Habib, Mhadhebi, Noureddine, Zeddini, Noureddine
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Boundary value problems
Existence theorems
Mathematical research
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Zusammenfassung:We establish the existence and uniqueness of a positive solution u for the fractional boundary value problem Dαu(x)=-a(x)uσ(x), x∈(0,1) with the condition limx→0Dα-1u(x)=0,  u(1)=0, where 1
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/420514