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

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  • Chen Yang
  • Xiaolin Zhu

Abstract

This paper considers a system of fractional differential equations involving - Laplacian operators and two parameters where , , and are the standard Riemann-Liouville derivatives, , , , , and and and 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.

Suggested Citation

  • Chen Yang & Xiaolin Zhu, 2020. "Positive Solutions Depending on Parameters for a Nonlinear Fractional System with - Laplacian Operators," Advances in Mathematical Physics, Hindawi, vol. 2020, pages 1-8, October.
    • Handle: RePEc:hin:jnlamp:9563791
    DOI: 10.1155/2020/9563791
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