Impulsive Multiorders Riemann-Liouville Fractional Differential Equations

Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. Examples illustrating the main results are presente...

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Main Authors: Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2015/603893
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author Weera Yukunthorn
Sotiris K. Ntouyas
Jessada Tariboon
author_facet Weera Yukunthorn
Sotiris K. Ntouyas
Jessada Tariboon
author_sort Weera Yukunthorn
collection DOAJ
description Impulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. Examples illustrating the main results are presented.
format Article
id doaj-art-b4595d56f18b4dcbb59fa63448eebc10
institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-b4595d56f18b4dcbb59fa63448eebc102025-02-03T01:10:15ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/603893603893Impulsive Multiorders Riemann-Liouville Fractional Differential EquationsWeera Yukunthorn0Sotiris K. Ntouyas1Jessada Tariboon2Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, ThailandImpulsive multiorders fractional differential equations are studied. Existence and uniqueness results are obtained for first- and second-order impulsive initial value problems by using Banach’s fixed point theorem in an appropriate weighted space. Examples illustrating the main results are presented.http://dx.doi.org/10.1155/2015/603893
spellingShingle Weera Yukunthorn
Sotiris K. Ntouyas
Jessada Tariboon
Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
Discrete Dynamics in Nature and Society
title Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
title_full Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
title_fullStr Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
title_full_unstemmed Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
title_short Impulsive Multiorders Riemann-Liouville Fractional Differential Equations
title_sort impulsive multiorders riemann liouville fractional differential equations
url http://dx.doi.org/10.1155/2015/603893
work_keys_str_mv AT weerayukunthorn impulsivemultiordersriemannliouvillefractionaldifferentialequations
AT sotiriskntouyas impulsivemultiordersriemannliouvillefractionaldifferentialequations
AT jessadatariboon impulsivemultiordersriemannliouvillefractionaldifferentialequations