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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/120781 |