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...

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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
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spelling doaj-3a98acedd6d04d49b8ac700416e1124d2020-11-25T00:23:56ZengSpringerOpenAdvances 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
collection DOAJ
language English
format Article
sources DOAJ
author Luo Xiannan
Zhou Yong
Chen Fulai
spellingShingle Luo Xiannan
Zhou Yong
Chen Fulai
Existence Results for Nonlinear Fractional Difference Equation
Advances in Difference Equations
author_facet Luo Xiannan
Zhou Yong
Chen Fulai
author_sort Luo Xiannan
title Existence Results for Nonlinear Fractional Difference Equation
title_short 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_sort existence results for nonlinear fractional difference equation
publisher SpringerOpen
series Advances in Difference Equations
issn 1687-1839
1687-1847
publishDate 2011-01-01
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>
url http://www.advancesindifferenceequations.com/content/2011/713201
work_keys_str_mv AT luoxiannan existenceresultsfornonlinearfractionaldifferenceequation
AT zhouyong existenceresultsfornonlinearfractionaldifferenceequation
AT chenfulai existenceresultsfornonlinearfractionaldifferenceequation
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