$Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras$
Código QR

Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximati...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Jin You, Zhenlai Han
Formato:	article
Lenguaje:	EN
Publicado:	Vilnius University Press 2021
Materias:	impulsive fractional differential equation hybrid fixed point theorem Dhage iteration principle quadratic Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/34652a03c12b4f038d13c0f72c28fc16
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:34652a03c12b4f038d13c0f72c28fc16
record_format	dspace
spelling	oai:doaj.org-article:34652a03c12b4f038d13c0f72c28fc162021-12-02T19:40:39ZAnalysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras10.15388/namc.2021.26.249391392-51132335-8963https://doaj.org/article/34652a03c12b4f038d13c0f72c28fc162021-11-01T00:00:00Zhttps://www.journals.vu.lt/nonlinear-analysis/article/view/24939https://doaj.org/toc/1392-5113https://doaj.org/toc/2335-8963 In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage iteration principles and related hybrid fixed point theorems. Compared with previous works, we generalize the results to fractional order and extend some existing conclusions for the first time. Meantime, we take into consideration the effect of impulses. Our results indicate the influence of fractional order for nonlinear hybrid differential equations and improve some known results, which have wider applications as well. A numerical example is included to illustrate the effectiveness of the proposed results. Jin YouZhenlai HanVilnius University Pressarticleimpulsive fractional differential equationhybrid fixed point theoremDhage iteration principlequadraticAnalysisQA299.6-433ENNonlinear Analysis, Vol 26, Iss 6 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	impulsive fractional differential equation hybrid fixed point theorem Dhage iteration principle quadratic Analysis QA299.6-433
spellingShingle	impulsive fractional differential equation hybrid fixed point theorem Dhage iteration principle quadratic Analysis QA299.6-433 Jin You Zhenlai Han Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
description	In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage iteration principles and related hybrid fixed point theorems. Compared with previous works, we generalize the results to fractional order and extend some existing conclusions for the first time. Meantime, we take into consideration the effect of impulses. Our results indicate the influence of fractional order for nonlinear hybrid differential equations and improve some known results, which have wider applications as well. A numerical example is included to illustrate the effectiveness of the proposed results.
format	article
author	Jin You Zhenlai Han
author_facet	Jin You Zhenlai Han
author_sort	Jin You
title	Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
title_short	Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
title_full	Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
title_fullStr	Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
title_full_unstemmed	Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
title_sort	analysis of fractional hybrid differential equations with impulses in partially ordered banach algebras
publisher	Vilnius University Press
publishDate	2021
url	https://doaj.org/article/34652a03c12b4f038d13c0f72c28fc16
work_keys_str_mv	AT jinyou analysisoffractionalhybriddifferentialequationswithimpulsesinpartiallyorderedbanachalgebras AT zhenlaihan analysisoffractionalhybriddifferentialequationswithimpulsesinpartiallyorderedbanachalgebras
_version_	1718376194359951360

Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras

Ejemplares similares