$Existence of solutions to singular fractional differential systems with impulses$

Existence of solutions to singular fractional differential systems with impulses

By constructing a weighted Banach space and a completely continuous operator, we establish the existence of solutions for singular fractional differential systems with impulses. Our results are proved using the Leray-Schauder nonlinear alternative, and are illustrated with examples.

Bibliographic Details
Main Authors:	Xingyuan Liu, Yuji Liu
Format:	Article
Language:	English
Published:	Texas State University 2012-11-01
Series:	Electronic Journal of Differential Equations
Subjects:	Solution singular fractional differential system impulsive boundary value problems Leray-Schauder nonlinear alternative
Online Access:	http://ejde.math.txstate.edu/Volumes/2012/201/abstr.html

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spelling	doaj-0e242f8fe4b14b2abaeab99d788aa4232020-11-24T22:50:42ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912012-11-012012201,126Existence of solutions to singular fractional differential systems with impulsesXingyuan LiuYuji LiuBy constructing a weighted Banach space and a completely continuous operator, we establish the existence of solutions for singular fractional differential systems with impulses. Our results are proved using the Leray-Schauder nonlinear alternative, and are illustrated with examples. http://ejde.math.txstate.edu/Volumes/2012/201/abstr.htmlSolutionsingular fractional differential systemimpulsive boundary value problemsLeray-Schauder nonlinear alternative
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xingyuan Liu Yuji Liu
spellingShingle	Xingyuan Liu Yuji Liu Existence of solutions to singular fractional differential systems with impulses Electronic Journal of Differential Equations Solution singular fractional differential system impulsive boundary value problems Leray-Schauder nonlinear alternative
author_facet	Xingyuan Liu Yuji Liu
author_sort	Xingyuan Liu
title	Existence of solutions to singular fractional differential systems with impulses
title_short	Existence of solutions to singular fractional differential systems with impulses
title_full	Existence of solutions to singular fractional differential systems with impulses
title_fullStr	Existence of solutions to singular fractional differential systems with impulses
title_full_unstemmed	Existence of solutions to singular fractional differential systems with impulses
title_sort	existence of solutions to singular fractional differential systems with impulses
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2012-11-01
description	By constructing a weighted Banach space and a completely continuous operator, we establish the existence of solutions for singular fractional differential systems with impulses. Our results are proved using the Leray-Schauder nonlinear alternative, and are illustrated with examples.
topic	Solution singular fractional differential system impulsive boundary value problems Leray-Schauder nonlinear alternative
url	http://ejde.math.txstate.edu/Volumes/2012/201/abstr.html
work_keys_str_mv	AT xingyuanliu existenceofsolutionstosingularfractionaldifferentialsystemswithimpulses AT yujiliu existenceofsolutionstosingularfractionaldifferentialsystemswithimpulses
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Existence of solutions to singular fractional differential systems with impulses

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