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

Xinguang Zhang, Jiqiang Jiang, Lishan Liu and Yonghong Wu

Mathematical Problems in Engineering, 2020, vol. 2020, 1-11

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.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:2492193

DOI: 10.1155/2020/2492193

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