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Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium

Author

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  • Xinguang Zhang
  • Jiqiang Jiang
  • Lishan Liu
  • Yonghong Wu

Abstract

In this paper, we are concerned with the existence of the maximum and minimum iterative solutions for a tempered fractional turbulent flow model in a porous medium with nonlocal boundary conditions. By introducing a new growth condition and developing an iterative technique, we establish new results on the existence of the maximum and minimum solutions for the considered equation; at the same time, the iterative sequences for approximating the extremal solutions are performed, and the asymptotic estimates of solutions are also derived.

Suggested Citation

  • Xinguang Zhang & Jiqiang Jiang & Lishan Liu & Yonghong Wu, 2020. "Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-11, September.
    • Handle: RePEc:hin:jnlmpe:2492193
    DOI: 10.1155/2020/2492193
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