摘要：This paper considers a system of fractional differential equations involving p -Laplacian operators and two parameters D 0 α 1 φ p 1 D 0 β 1 u t λ f t , u t , v t = 0 , 0 t 1 , D 0 α 2 φ p 2 D 0 β 2 v t μ g t , u t , v t = 0 , 0 t 1 , u 0 = u 1 = u ′ 0 = u ′ 1 = 0 , D 0 β 1 u 0 = 0 , D 0 β 1 u 1 = b 1 D 0 β 1 u η 1 , v 0 = v 1 = v ′ 0 = v ′ 1 = 0 , D 0 β 2 v 0 = 0 , D 0 β 2 v 1 = b 2 D 0 β 2 v η 2 , where α i ∈ 1 , 2 , β i ∈ 3 , 4 , D 0 α i and D 0 β i are the standard Riemann-Liouville derivatives, φ p i s = s p i − 2 s , p i > 1 , φ p i − 1 = φ q i , 1 / p i 1 / q i = 1 , η i ∈ 0 , 1 , b i ∈ 0 , η i 1 − α i / p i − 1 , i = 1 , 2 , and f , g ∈ C 0 , 1 × 0 , ∞ × 0 , ∞ , 0 , ∞ and λ and μ are two positive parameters. We obtain the existence and uniqueness of positive solutions depending on parameters for the system by utilizing a recent fixed point theorem. Furthermore, an example is present to illustrate our main result.
