Existence of Positive Solutions of the Boundary Value Problem for Nonlinear Fractional Differential Equations
Abstract：In this paper,we are concerned with the existence of positive solutions for the following nonlinear fractional boundary value problem Dα0＋u（t）＋f（t,u（t））=0,0t1,u（0）=0,Dβ0＋u（1）=kDβ0＋u（ζ）,where 1α≤2 is a real number,Dα0＋ is the standard Riemann-Liouville fractional derivative of order α.We obtain the existence of positive solutions by fixed point index theory under some conditions concering the first eigenvalue with respect to the relevant linear operator.
Keywords：fractional differential equationsfractional boundary value problemthe first eigenvaluepositive solutionfixed point index
Publication Date：2012-01-01
Online Publishing Date：2026-08-28(First online date of this platform, not the publication date of the document)
Pages：4( 18-20,41 )