Existence results for fractional order impulsive functional differential equations with multiple delays

Abstract In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain condi...
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Autor*in:	Huiping Fang [verfasserIn] Mingzhu Song [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Fractional order functional differential equations Impulsive Fixed point theorem

Übergeordnetes Werk:	In: Advances in Difference Equations - SpringerOpen, 2006, (2018), 1, Seite 11
Übergeordnetes Werk:	year:2018 ; number:1 ; pages:11

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.1186/s13662-018-1580-4

Katalog-ID:	DOAJ068188803

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callnumber-first	Q - Science
author	Huiping Fang
spellingShingle	Huiping Fang misc QA1-939 misc Fractional order functional differential equations misc Impulsive misc Fixed point theorem misc Mathematics Existence results for fractional order impulsive functional differential equations with multiple delays
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topic_title	QA1-939 Existence results for fractional order impulsive functional differential equations with multiple delays Fractional order functional differential equations Impulsive Fixed point theorem
topic	misc QA1-939 misc Fractional order functional differential equations misc Impulsive misc Fixed point theorem misc Mathematics
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title	Existence results for fractional order impulsive functional differential equations with multiple delays
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title_full	Existence results for fractional order impulsive functional differential equations with multiple delays
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title_sort	existence results for fractional order impulsive functional differential equations with multiple delays
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title_auth	Existence results for fractional order impulsive functional differential equations with multiple delays
abstract	Abstract In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main results.
abstractGer	Abstract In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main results.
abstract_unstemmed	Abstract In this paper, we study the solution of impulsive fractional differential equations with multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method. Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main results.
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title_short	Existence results for fractional order impulsive functional differential equations with multiple delays
url	https://doi.org/10.1186/s13662-018-1580-4 https://doaj.org/article/916ad0577f1d4ec1917c755422b27e01 http://link.springer.com/article/10.1186/s13662-018-1580-4 https://doaj.org/toc/1687-1847
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