Positive Solutions Depending on Parameters for a Nonlinear Fractional System with p-Laplacian Operators

Abstract EN

This paper considers a system of fractional differential equations involving p-Laplacian operators and two parameters D0+α1φp1D0+β1ut+λft,ut,vt=0,01, φpi−1=φqi, 1/pi+1/qi=1,ηi∈0,1,bi∈0,ηi1−αi/pi−1, i=1,2, and f,g∈C0,1×0,+∞×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.