Existence Results for Singular Boundary Value Problem of Nonlinear Fractional Differential Equation
Yujun Cui
Abstract and Applied Analysis, 2011, vol. 2011, 1-9
Abstract:
By applying a fixed point theorem for mappings that are decreasing with respect to a cone, this paper investigates the existence of positive solutions for the nonlinear fractional boundary value problem: ð · ð ›¼ 0 + ð ‘¢ ( ð ‘¡ ) + ð ‘“ ( ð ‘¡ , ð ‘¢ ( ð ‘¡ ) ) = 0 , 0 < ð ‘¡ < 1 , ð ‘¢ ( 0 ) = ð ‘¢ ′ ( 0 ) = ð ‘¢ ′ ( 1 ) = 0 , where 2 < ð ›¼ < 3 , ð · ð ›¼ 0 + is the Riemann-Liouville fractional derivative.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:605614
DOI: 10.1155/2011/605614
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