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

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

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...

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Main Authors: Xinguang Zhang, Jiqiang Jiang, Lishan Liu, Yonghong Wu
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2020/2492193
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spelling doaj-37040738296043bc9c70fdbfbd4bbe132020-11-25T03:59:17ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/24921932492193Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous MediumXinguang Zhang0Jiqiang Jiang1Lishan Liu2Yonghong Wu3School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaSchool of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, ChinaDepartment of Mathematics and Statistics, Curtin University of Technology, Perth 6845, WA, AustraliaIn 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.http://dx.doi.org/10.1155/2020/2492193
collection DOAJ
language English
format Article
sources DOAJ
author Xinguang Zhang
Jiqiang Jiang
Lishan Liu
Yonghong Wu
spellingShingle Xinguang Zhang
Jiqiang Jiang
Lishan Liu
Yonghong Wu
Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
Mathematical Problems in Engineering
author_facet Xinguang Zhang
Jiqiang Jiang
Lishan Liu
Yonghong Wu
author_sort Xinguang Zhang
title Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
title_short Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
title_full Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
title_fullStr Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
title_full_unstemmed Extremal Solutions for a Class of Tempered Fractional Turbulent Flow Equations in a Porous Medium
title_sort extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2020-01-01
description 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.
url http://dx.doi.org/10.1155/2020/2492193
work_keys_str_mv AT xinguangzhang extremalsolutionsforaclassoftemperedfractionalturbulentflowequationsinaporousmedium
AT jiqiangjiang extremalsolutionsforaclassoftemperedfractionalturbulentflowequationsinaporousmedium
AT lishanliu extremalsolutionsforaclassoftemperedfractionalturbulentflowequationsinaporousmedium
AT yonghongwu extremalsolutionsforaclassoftemperedfractionalturbulentflowequationsinaporousmedium
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