Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator

Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator

Abstract In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, some existence results of positive solutions are obtained. In addition, an example is inclu...

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Main Authors: Yuansheng Tian, Zhanbing Bai, Sujing Sun
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:Advances in Difference Equations
Subjects:
Fractional differential equation
Boundary value problem
p-Laplacian operator
Positive solution
Online Access:http://link.springer.com/article/10.1186/s13662-019-2280-4
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spelling doaj-f48d26fee2914a2e8b9baec38b4b26a72020-11-25T03:54:34ZengSpringerOpenAdvances in Difference Equations1687-18472019-08-012019111410.1186/s13662-019-2280-4Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operatorYuansheng Tian0Zhanbing Bai1Sujing Sun2College of Mathematics and Finance, Xiangnan UniversityCollege of Mathematics and System Sciences, Shandong University of Science and TechnologyCollege of Mathematics and System Sciences, Shandong University of Science and TechnologyAbstract In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, some existence results of positive solutions are obtained. In addition, an example is included to illustrate the main results.http://link.springer.com/article/10.1186/s13662-019-2280-4Fractional differential equationBoundary value problemp-Laplacian operatorPositive solution
collection DOAJ
language English
format Article
sources DOAJ
author Yuansheng Tian
Zhanbing Bai
Sujing Sun
spellingShingle Yuansheng Tian
Zhanbing Bai
Sujing Sun
Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
Advances in Difference Equations
Fractional differential equation
Boundary value problem
p-Laplacian operator
Positive solution
author_facet Yuansheng Tian
Zhanbing Bai
Sujing Sun
author_sort Yuansheng Tian
title Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
title_short Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
title_full Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
title_fullStr Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
title_full_unstemmed Positive solutions for a boundary value problem of fractional differential equation with p-Laplacian operator
title_sort positive solutions for a boundary value problem of fractional differential equation with p-laplacian operator
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-08-01
description Abstract In this paper, the existence of a positive solution to a boundary value problem of fractional differential equations with the p-Laplacian operator is studied. By applying a monotone iterative method, some existence results of positive solutions are obtained. In addition, an example is included to illustrate the main results.
topic Fractional differential equation
Boundary value problem
p-Laplacian operator
Positive solution
url http://link.springer.com/article/10.1186/s13662-019-2280-4
work_keys_str_mv AT yuanshengtian positivesolutionsforaboundaryvalueproblemoffractionaldifferentialequationwithplaplacianoperator
AT zhanbingbai positivesolutionsforaboundaryvalueproblemoffractionaldifferentialequationwithplaplacianoperator
AT sujingsun positivesolutionsforaboundaryvalueproblemoffractionaldifferentialequationwithplaplacianoperator
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