Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator

Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator

Abstract In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude to the existence of positive solutions for the fractional boundary value problem. An examp...

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Bibliographic Details
Main Author: Yunhong Li
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Advances in Difference Equations
Subjects:
Caputo fractional derivative
Riemann–Liouville fractional derivative
Positive solutions
p-Laplacian
Avery–Peterson fixed point theorem
Online Access:http://link.springer.com/article/10.1186/s13662-019-2041-4
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spelling doaj-6603fe2c233a43ba88b238e02023fe522020-11-25T02:35:47ZengSpringerOpenAdvances in Difference Equations1687-18472019-03-012019111210.1186/s13662-019-2041-4Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operatorYunhong Li0School of Sciences, Hebei University of Science and TechnologyAbstract In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude to the existence of positive solutions for the fractional boundary value problem. An example is also presented to illustrate the effectiveness of the main result.http://link.springer.com/article/10.1186/s13662-019-2041-4Caputo fractional derivativeRiemann–Liouville fractional derivativePositive solutionsp-LaplacianAvery–Peterson fixed point theorem
collection DOAJ
language English
format Article
sources DOAJ
author Yunhong Li
spellingShingle Yunhong Li
Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
Advances in Difference Equations
Caputo fractional derivative
Riemann–Liouville fractional derivative
Positive solutions
p-Laplacian
Avery–Peterson fixed point theorem
author_facet Yunhong Li
author_sort Yunhong Li
title Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
title_short Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
title_full Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
title_fullStr Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
title_full_unstemmed Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator
title_sort multiple positive solutions for nonlinear mixed fractional differential equation with p-laplacian operator
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1847
publishDate 2019-03-01
description Abstract In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude to the existence of positive solutions for the fractional boundary value problem. An example is also presented to illustrate the effectiveness of the main result.
topic Caputo fractional derivative
Riemann–Liouville fractional derivative
Positive solutions
p-Laplacian
Avery–Peterson fixed point theorem
url http://link.springer.com/article/10.1186/s13662-019-2041-4
work_keys_str_mv AT yunhongli multiplepositivesolutionsfornonlinearmixedfractionaldifferentialequationwithplaplacianoperator
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