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On existence and uniqueness of positive solutions to a class of fractional boundary value problems
2011
Boundary Value Problems
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The purpose of this paper is to investigate the existence and uniqueness of positive solutions for the following fractional boundary value problem where 2 <a ≤ 3 and D α 0 + is the Riemann-Liouville fractional derivative. Our analysis relies on a fixed-point theorem in partially ordered metric spaces. The autonomous case of this problem was studied in the paper [Zhao et al., Abs. Appl. Anal., to appear], but in Zhao et al. (to appear), the question of uniqueness of the solution is not treated.
doi:10.1186/1687-2770-2011-25
fatcat:j7mbhfgparh63hkjouonzw5oji