摘要：We establish the existence, uniqueness, and global behavior of a positive solution for the following superlinear fractional boundary value problem: D α u ( x ) = u ( x ) φ ( x , u ( x ) ) , x ∈ ( 0 , 1 ) , lim x → 0 + D α − 1 u ( x ) = − a , u ( 1 ) = b , where 1 0 and φ ( x , t ) is a nonnegative continuous function in ( 0 , 1 ) × [ 0 , ∞ ) that is required to satisfy some appropriate conditions related to a certain class of functions K α . Our approach is based on estimates of the Green’s function and on perturbation arguments. MSC:34A08, 34B18, 34B27.
关键词：fractional differential equations ; boundary value problem ; positive solutions ; Green’s function ; perturbation arguments
