摘要:In this article, by using the fixed point theorem, existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations D 0 + α u ( t ) + λ a ( t ) f ( t , u ( t ) ) = 0 , 0 < t < 1 , u ( 0 ) = u ( 1 ) = 0 is considered, where 1 < α < 2 is a real number, D 0 + α is the standard Riemann-Liouville derivate, λ is a positive parameter and a(t) ∈ C([0, 1], [0, ∞)), f(t, u) ∈ C([0, 1] × [0, ∞), [0, ∞)). MSC(2010): 34B18.
关键词:fractional differential equation ; positive solution ; eigenvalue problem ; fixed point