On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation

In this paper, we introduce the application of three fixed point theorem by discussing the existence of three positive solutions for a class of Caputo fractional difference equation boundary value problem. We establish the condition of the existence of three positive solutions for this problem.

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Main Authors: Lili Kong, Huiqin Chen, Luping Li, Shugui Kang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/2940726
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author Lili Kong
Huiqin Chen
Luping Li
Shugui Kang
author_facet Lili Kong
Huiqin Chen
Luping Li
Shugui Kang
author_sort Lili Kong
collection DOAJ
description In this paper, we introduce the application of three fixed point theorem by discussing the existence of three positive solutions for a class of Caputo fractional difference equation boundary value problem. We establish the condition of the existence of three positive solutions for this problem.
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institution Kabale University
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language English
publishDate 2020-01-01
publisher Wiley
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series Discrete Dynamics in Nature and Society
spelling doaj-art-2e37da22a1ec4c2caa6b762529baa73f2025-02-03T01:05:23ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2020-01-01202010.1155/2020/29407262940726On the Existence of Three Positive Solutions for a Caputo Fractional Difference EquationLili Kong0Huiqin Chen1Luping Li2Shugui Kang3School of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, ChinaSchool of Mathematics and Statistics, Shanxi Datong University, Datong, Shanxi 037009, ChinaIn this paper, we introduce the application of three fixed point theorem by discussing the existence of three positive solutions for a class of Caputo fractional difference equation boundary value problem. We establish the condition of the existence of three positive solutions for this problem.http://dx.doi.org/10.1155/2020/2940726
spellingShingle Lili Kong
Huiqin Chen
Luping Li
Shugui Kang
On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
Discrete Dynamics in Nature and Society
title On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
title_full On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
title_fullStr On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
title_full_unstemmed On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
title_short On the Existence of Three Positive Solutions for a Caputo Fractional Difference Equation
title_sort on the existence of three positive solutions for a caputo fractional difference equation
url http://dx.doi.org/10.1155/2020/2940726
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AT huiqinchen ontheexistenceofthreepositivesolutionsforacaputofractionaldifferenceequation
AT lupingli ontheexistenceofthreepositivesolutionsforacaputofractionaldifferenceequation
AT shuguikang ontheexistenceofthreepositivesolutionsforacaputofractionaldifferenceequation