Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line

Imed Bachar and Habib Mâagli

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

We are interested in the following fractional boundary value problem: , , , , where , , is the standard Riemann-Liouville fractional derivative, and is a nonnegative continuous function on satisfying some appropriate assumptions related to Karamata regular variation theory. Using the Schauder fixed point theorem, we prove the existence and the uniqueness of a positive solution. We also give a global behavior of such solution.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:537971

DOI: 10.1155/2014/537971

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