Open AccessExistence Results for Singular Boundary Value Problem of Nonlinear Fractional Differential Equation
Author(s) -
Yujun Cui
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/605614
Subject(s) - mathematics , fixed point theorem , fractional calculus , boundary value problem , cone (formal languages) , nonlinear system , mathematical analysis , physics , algorithm , quantum mechanics
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: 0+()+(,())=0, 0<<1, (0)=′(0)=′(1)=0, where 2<<3, 0+ is the Riemann-Liouville fractional derivative
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