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Existence and Estimates of Positive Solutions for Some Singular Fractional Boundary Value Problems

We establish the existence and uniqueness of a positive solution u for the following fractional boundary value problem:Dαu(x)=−a(x)uσ(x), x∈(0,1) with the conditions limx→0+⁡x2−αu(x)=0, u(1)=0, where 1<α≤2, σ∈(−1,1), and a is a nonnegative continuous function on (0,1) that may be singular at x=0 or...

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Bibliografski detalji
Glavni autori: Habib Mâagli, Noureddine Mhadhebi, Noureddine Zeddini
Format: Artigo
Jezik:Inglês
Izdano: Wiley 2014-01-01
Serija:Abstract and Applied Analysis
Online pristup:http://dx.doi.org/10.1155/2014/120781
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