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

Xinguang Zhang; Jiqiang Jiang; Lishan Liu; Yonghong Wu

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

机译：多孔介质中一类钢化分数湍流方程的极值解

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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.

机译：在本文中，我们涉及在具有非识别介质中的多孔介质中的回火分数湍流模型的最大和最小迭代解。通过引入新的增长条件和开发迭代技术，我们对所考虑方程的最大和最低解决方案的存在建立了新的结果;同时，执行用于近似极值溶液的迭代序列，也导出了溶液的渐近估计。

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2020年第1期|共11页
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Xinguang Zhang; Jiqiang Jiang; Lishan Liu; Yonghong Wu;
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1. The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium [J] . Xinguang Zhang, Lishan Liu, Yonghong Wu Applied mathematics letters . 2014,第Null期

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5. Approximate Techniques for the Solution of Unconfined Groundwater Flow Equations and a Derivation of a Two-Sided Fractional Conservation of Mass Equation. [D] . Olsen, Jeffrey S. 2017

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

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