existence and estimates of positive solutions for some singular fractional boundary value problems
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ID: 184379
2014
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Abstract
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 x=1. We also give the global behavior of such a solution.
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| Reference Key |
magli2014abstractexistence
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|---|---|
| Authors | ;Habib Mâagli;Noureddine Mhadhebi;Noureddine Zeddini |
| Journal | science and technology of advanced materials |
| Year | 2014 |
| DOI |
10.1155/2014/120781
|
| URL | |
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