Existence Results for Nonlinear Fractional Difference Equation

<p/> <p>This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illus...

Full description

Bibliographic Details
Main Authors: Luo Xiannan, Zhou Yong, Chen Fulai
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2011/713201
_version_ 1818143739484307456
author Luo Xiannan
Zhou Yong
Chen Fulai
author_facet Luo Xiannan
Zhou Yong
Chen Fulai
author_sort Luo Xiannan
collection DOAJ
description <p/> <p>This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.</p>
first_indexed 2024-12-11T11:36:27Z
format Article
id doaj.art-3a98acedd6d04d49b8ac700416e1124d
institution Directory Open Access Journal
issn 1687-1839
1687-1847
language English
last_indexed 2024-12-11T11:36:27Z
publishDate 2011-01-01
publisher SpringerOpen
record_format Article
series Advances in Difference Equations
spelling doaj.art-3a98acedd6d04d49b8ac700416e1124d2022-12-22T01:08:44ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472011-01-0120111713201Existence Results for Nonlinear Fractional Difference EquationLuo XiannanZhou YongChen Fulai<p/> <p>This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained. An example is also provided to illustrate our main result.</p>http://www.advancesindifferenceequations.com/content/2011/713201
spellingShingle Luo Xiannan
Zhou Yong
Chen Fulai
Existence Results for Nonlinear Fractional Difference Equation
Advances in Difference Equations
title Existence Results for Nonlinear Fractional Difference Equation
title_full Existence Results for Nonlinear Fractional Difference Equation
title_fullStr Existence Results for Nonlinear Fractional Difference Equation
title_full_unstemmed Existence Results for Nonlinear Fractional Difference Equation
title_short Existence Results for Nonlinear Fractional Difference Equation
title_sort existence results for nonlinear fractional difference equation
url http://www.advancesindifferenceequations.com/content/2011/713201
work_keys_str_mv AT luoxiannan existenceresultsfornonlinearfractionaldifferenceequation
AT zhouyong existenceresultsfornonlinearfractionaldifferenceequation
AT chenfulai existenceresultsfornonlinearfractionaldifferenceequation