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

Chen Yang and Xiaolin Zhu

Advances in Mathematical Physics, 2020, vol. 2020, issue 1

Abstract: This paper considers a system of fractional differential equations involving p‐Laplacian operators and two parameters D0+α1φp1D0+β1ut+λft,ut,vt=001, 1, φpi−1=φqi, 1/pi+1/qi=1,ηi∈01,,bi∈0,ηi1−αi/pi−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.

Date: 2020
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https://doi.org/10.1155/2020/9563791

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:9563791

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