Mixed-order impulsive ordinary and fractional differential equations with initial conditions

Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are establishe...
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Autor*in:	Asawasamrit, Suphawat [verfasserIn] Thadang, Yasintorn [verfasserIn] Ntouyas, Sotiris K. [verfasserIn] Tariboon, Jessada [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Impulsive differential equations Fractional impulsive differential equations Instantaneous impulses Non-instantaneous impulses

Übergeordnetes Werk:	Enthalten in: Advances in difference equations - [S.l.] : Springer International, 2004, 2019(2019), 1 vom: 13. Juni
Übergeordnetes Werk:	volume:2019 ; year:2019 ; number:1 ; day:13 ; month:06

Links:	Volltext

DOI / URN:	10.1186/s13662-019-2168-3

Katalog-ID:	SPR032113781

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520			\|a Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented.
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spelling	10.1186/s13662-019-2168-3 doi (DE-627)SPR032113781 (SPR)s13662-019-2168-3-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Asawasamrit, Suphawat verfasserin aut Mixed-order impulsive ordinary and fractional differential equations with initial conditions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented. Impulsive differential equations (dpeaa)DE-He213 Fractional impulsive differential equations (dpeaa)DE-He213 Instantaneous impulses (dpeaa)DE-He213 Non-instantaneous impulses (dpeaa)DE-He213 Thadang, Yasintorn verfasserin aut Ntouyas, Sotiris K. verfasserin aut Tariboon, Jessada verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2019(2019), 1 vom: 13. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2019 year:2019 number:1 day:13 month:06 https://dx.doi.org/10.1186/s13662-019-2168-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2019 2019 1 13 06
allfields_unstemmed	10.1186/s13662-019-2168-3 doi (DE-627)SPR032113781 (SPR)s13662-019-2168-3-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Asawasamrit, Suphawat verfasserin aut Mixed-order impulsive ordinary and fractional differential equations with initial conditions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented. Impulsive differential equations (dpeaa)DE-He213 Fractional impulsive differential equations (dpeaa)DE-He213 Instantaneous impulses (dpeaa)DE-He213 Non-instantaneous impulses (dpeaa)DE-He213 Thadang, Yasintorn verfasserin aut Ntouyas, Sotiris K. verfasserin aut Tariboon, Jessada verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2019(2019), 1 vom: 13. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2019 year:2019 number:1 day:13 month:06 https://dx.doi.org/10.1186/s13662-019-2168-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2019 2019 1 13 06
allfieldsGer	10.1186/s13662-019-2168-3 doi (DE-627)SPR032113781 (SPR)s13662-019-2168-3-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Asawasamrit, Suphawat verfasserin aut Mixed-order impulsive ordinary and fractional differential equations with initial conditions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented. Impulsive differential equations (dpeaa)DE-He213 Fractional impulsive differential equations (dpeaa)DE-He213 Instantaneous impulses (dpeaa)DE-He213 Non-instantaneous impulses (dpeaa)DE-He213 Thadang, Yasintorn verfasserin aut Ntouyas, Sotiris K. verfasserin aut Tariboon, Jessada verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2019(2019), 1 vom: 13. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2019 year:2019 number:1 day:13 month:06 https://dx.doi.org/10.1186/s13662-019-2168-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2019 2019 1 13 06
allfieldsSound	10.1186/s13662-019-2168-3 doi (DE-627)SPR032113781 (SPR)s13662-019-2168-3-e DE-627 ger DE-627 rakwb eng 510 610 ASE 31.49 bkl Asawasamrit, Suphawat verfasserin aut Mixed-order impulsive ordinary and fractional differential equations with initial conditions 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented. Impulsive differential equations (dpeaa)DE-He213 Fractional impulsive differential equations (dpeaa)DE-He213 Instantaneous impulses (dpeaa)DE-He213 Non-instantaneous impulses (dpeaa)DE-He213 Thadang, Yasintorn verfasserin aut Ntouyas, Sotiris K. verfasserin aut Tariboon, Jessada verfasserin aut Enthalten in Advances in difference equations [S.l.] : Springer International, 2004 2019(2019), 1 vom: 13. Juni (DE-627)377755699 (DE-600)2132815-8 1687-1847 nnns volume:2019 year:2019 number:1 day:13 month:06 https://dx.doi.org/10.1186/s13662-019-2168-3 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2088 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.49 ASE AR 2019 2019 1 13 06
language	English
source	Enthalten in Advances in difference equations 2019(2019), 1 vom: 13. Juni volume:2019 year:2019 number:1 day:13 month:06
sourceStr	Enthalten in Advances in difference equations 2019(2019), 1 vom: 13. Juni volume:2019 year:2019 number:1 day:13 month:06
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Impulsive differential equations Fractional impulsive differential equations Instantaneous impulses Non-instantaneous impulses
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container_title	Advances in difference equations
authorswithroles_txt_mv	Asawasamrit, Suphawat @@aut@@ Thadang, Yasintorn @@aut@@ Ntouyas, Sotiris K. @@aut@@ Tariboon, Jessada @@aut@@
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author	Asawasamrit, Suphawat
spellingShingle	Asawasamrit, Suphawat ddc 510 bkl 31.49 misc Impulsive differential equations misc Fractional impulsive differential equations misc Instantaneous impulses misc Non-instantaneous impulses Mixed-order impulsive ordinary and fractional differential equations with initial conditions
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topic_title	510 610 ASE 31.49 bkl Mixed-order impulsive ordinary and fractional differential equations with initial conditions Impulsive differential equations (dpeaa)DE-He213 Fractional impulsive differential equations (dpeaa)DE-He213 Instantaneous impulses (dpeaa)DE-He213 Non-instantaneous impulses (dpeaa)DE-He213
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title	Mixed-order impulsive ordinary and fractional differential equations with initial conditions
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title_full	Mixed-order impulsive ordinary and fractional differential equations with initial conditions
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title_sort	mixed-order impulsive ordinary and fractional differential equations with initial conditions
title_auth	Mixed-order impulsive ordinary and fractional differential equations with initial conditions
abstract	Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented.
abstractGer	Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented.
abstract_unstemmed	Abstract In this paper, using the idea of separated intervals in non-instantaneous impulsive equations, we initiate the study of initial value problems for mixed-order ordinary and fractional differential equations with instantaneous impulsive effects. Existence and uniqueness results are established via standard fixed point theorems. Examples illustrating the main results are also presented.
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title_short	Mixed-order impulsive ordinary and fractional differential equations with initial conditions
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Mixed-order impulsive ordinary and fractional differential equations with initial conditions

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