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

Authors :
Lishan Liu
Jiqiang Jiang
Yonghong Wu
Xinguang Zhang
Source :
Mathematical Problems in Engineering, Vol 2020 (2020)
Publication Year :
2020
Publisher :
Hindawi, 2020.

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.

Details

Language :
English
ISSN :
1024123X
Database :
OpenAIRE
Journal :
Mathematical Problems in Engineering
Accession number :
edsair.doi.dedup.....7facb278e057027fb94c95832fa0787c
Full Text :
https://doi.org/10.1155/2020/2492193