摘要:In this paper, we discuss the existence and multiplicity of positive solutions to m-point boundary value problems of nonlinear fractional differential equations with p-Laplacian operator { D 0 + β ( φ p ( D 0 + α u ( t ) ) ) + φ p ( λ ) f ( t , u ( t ) ) = 0 , 0 1 , φ p − 1 = φ q , 1 p + 1 q = 1 . Our results are based on the monotone iterative technique and the theory of the fixed point index in a cone. Furthermore, two examples are also given to illustrate the results.
关键词:fractional differential equation ; m-point boundary value problems ; p -Laplacian operator