Fractional boundary value problems on the half line

In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.

Bibliographic Details
Main Authors:	Assia Frioui, Assia Guezane-Lakoud, Rabah Khaldi
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2017-01-01
Series:	Opuscula Mathematica
Subjects:	boundary value problem at resonance existence of solution unbounded interval coincidence degree of Mawhin fractional differential equation
Online Access:	http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdf

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spelling	doaj-4fc57dcba0004570a818f08172f5710a2020-11-24T22:26:02ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742017-01-01372265280http://dx.doi.org/10.7494/OpMath.2017.37.2.2653710Fractional boundary value problems on the half lineAssia Frioui0Assia Guezane-Lakoud1Rabah Khaldi2University Guelma, Laboratory of Applied Mathematics and Modeling, P.O. Box 401, Guelma 24000, AlgeriaUniversity Badji Mokhtar-Annaba, Faculty of Sciences, Laboratory of Advanced Materials, P.O. Box 12, 23000, Annaba, AlgeriaUniversity Badji Mokhtar-Annaba, Faculty of Sciences, Laboratory of Advanced Materials, P.O. Box 12, 23000, Annaba, AlgeriaIn this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdfboundary value problem at resonanceexistence of solutionunbounded intervalcoincidence degree of Mawhinfractional differential equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Assia Frioui Assia Guezane-Lakoud Rabah Khaldi
spellingShingle	Assia Frioui Assia Guezane-Lakoud Rabah Khaldi Fractional boundary value problems on the half line Opuscula Mathematica boundary value problem at resonance existence of solution unbounded interval coincidence degree of Mawhin fractional differential equation
author_facet	Assia Frioui Assia Guezane-Lakoud Rabah Khaldi
author_sort	Assia Frioui
title	Fractional boundary value problems on the half line
title_short	Fractional boundary value problems on the half line
title_full	Fractional boundary value problems on the half line
title_fullStr	Fractional boundary value problems on the half line
title_full_unstemmed	Fractional boundary value problems on the half line
title_sort	fractional boundary value problems on the half line
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2017-01-01
description	In this paper, we focus on the solvability of a fractional boundary value problem at resonance on an unbounded interval. By constructing suitable operators, we establish an existence theorem upon the coincidence degree theory of Mawhin. The obtained results are illustrated by an example.
topic	boundary value problem at resonance existence of solution unbounded interval coincidence degree of Mawhin fractional differential equation
url	http://www.opuscula.agh.edu.pl/vol37/2/art/opuscula_math_3710.pdf
work_keys_str_mv	AT assiafrioui fractionalboundaryvalueproblemsonthehalfline AT assiaguezanelakoud fractionalboundaryvalueproblemsonthehalfline AT rabahkhaldi fractionalboundaryvalueproblemsonthehalfline
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Fractional boundary value problems on the half line

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