General Solution of Linear Fractional Neutral Differential Difference Equations

General Solution of Linear Fractional Neutral Differential Difference Equations

This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral...

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Main Authors: Hai Zhang, Jinde Cao, Wei Jiang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2013/489521
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spelling doaj-43ef4bbc25704fac8eb8f3057caf11852020-11-24T23:09:08ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/489521489521General Solution of Linear Fractional Neutral Differential Difference EquationsHai Zhang0Jinde Cao1Wei Jiang2Department of Mathematics, Southeast University, Nanjing, Jiangsu 210096, ChinaDepartment of Mathematics, Southeast University, Nanjing, Jiangsu 210096, ChinaSchool of Mathematical Sciences, Anhui University, Hefei, Anhui 230039, ChinaThis paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral inequality and the Laplace transform method, respectively. The obtained results extend the corresponding ones of integer order linear ordinary differential equations and delay differential equations.http://dx.doi.org/10.1155/2013/489521
collection DOAJ
language English
format Article
sources DOAJ
author Hai Zhang
Jinde Cao
Wei Jiang
spellingShingle Hai Zhang
Jinde Cao
Wei Jiang
General Solution of Linear Fractional Neutral Differential Difference Equations
Discrete Dynamics in Nature and Society
author_facet Hai Zhang
Jinde Cao
Wei Jiang
author_sort Hai Zhang
title General Solution of Linear Fractional Neutral Differential Difference Equations
title_short General Solution of Linear Fractional Neutral Differential Difference Equations
title_full General Solution of Linear Fractional Neutral Differential Difference Equations
title_fullStr General Solution of Linear Fractional Neutral Differential Difference Equations
title_full_unstemmed General Solution of Linear Fractional Neutral Differential Difference Equations
title_sort general solution of linear fractional neutral differential difference equations
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2013-01-01
description This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral inequality and the Laplace transform method, respectively. The obtained results extend the corresponding ones of integer order linear ordinary differential equations and delay differential equations.
url http://dx.doi.org/10.1155/2013/489521
work_keys_str_mv AT haizhang generalsolutionoflinearfractionalneutraldifferentialdifferenceequations
AT jindecao generalsolutionoflinearfractionalneutraldifferentialdifferenceequations
AT weijiang generalsolutionoflinearfractionalneutraldifferentialdifferenceequations
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