New existence results for fractional differential equations in a weighted Sobolev space

New existence results for fractional differential equations in a weighted Sobolev space

In this paper, we give some conditions to prove the existence of solutions for a nonlinear boundary value problem of fractional differential equations with higher order q, (n-1< q<n), involving Riemann-Liouville fractional derivative. The solutions are discussed in a weighted fractional Rieman...

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Main Authors: Ahmed Hallaci, Hamid Boulares, Abdelouaheb Ardjouni, Abderrazak Chaoui
Format: Article
Language:English
Published: Sapienza Università Editrice 2021-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
fractional differential equations
existence results
weighted sobolev space
fixed point theorem.
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(1)/35-48.pdf
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spelling doaj-4c68f60b68d94a29b9f1d3c46f93538b2020-12-22T15:37:15ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33502021-01-014213548New existence results for fractional differential equations in a weighted Sobolev spaceAhmed Hallaci0 Hamid Boulares1Abdelouaheb Ardjouni2Abderrazak Chaoui3Departement of Mathematics, Faculty of Sciences, University of 08 Mai 1945 Guelma, P. Box 401, Guelma, 24000, Algeria.Departement of Mathematics, Faculty of Sciences, University of 08 Mai 1945 Guelma, P. Box 401, Guelma, 24000, Algeria.Department of Mathematics and Informatics, University of Souk-Ahras, P.O. Box 1553, SoukAhras, 41000, Algeria.Departement of Mathematics, Faculty of Sciences, University of 08 Mai 1945 Guelma, P. Box 401, Guelma, 24000, Algeria.In this paper, we give some conditions to prove the existence of solutions for a nonlinear boundary value problem of fractional differential equations with higher order q, (n-1< q<n), involving Riemann-Liouville fractional derivative. The solutions are discussed in a weighted fractional Riemann-Liouville Sobolev space using Schauder's fixed point theorem. An example is given to illustrate the main results.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(1)/35-48.pdffractional differential equationsexistence resultsweighted sobolev spacefixed point theorem.
collection DOAJ
language English
format Article
sources DOAJ
author Ahmed Hallaci
Hamid Boulares
Abdelouaheb Ardjouni
Abderrazak Chaoui
spellingShingle Ahmed Hallaci
Hamid Boulares
Abdelouaheb Ardjouni
Abderrazak Chaoui
New existence results for fractional differential equations in a weighted Sobolev space
Rendiconti di Matematica e delle Sue Applicazioni
fractional differential equations
existence results
weighted sobolev space
fixed point theorem.
author_facet Ahmed Hallaci
Hamid Boulares
Abdelouaheb Ardjouni
Abderrazak Chaoui
author_sort Ahmed Hallaci
title New existence results for fractional differential equations in a weighted Sobolev space
title_short New existence results for fractional differential equations in a weighted Sobolev space
title_full New existence results for fractional differential equations in a weighted Sobolev space
title_fullStr New existence results for fractional differential equations in a weighted Sobolev space
title_full_unstemmed New existence results for fractional differential equations in a weighted Sobolev space
title_sort new existence results for fractional differential equations in a weighted sobolev space
publisher Sapienza Università Editrice
series Rendiconti di Matematica e delle Sue Applicazioni
issn 1120-7183
2532-3350
publishDate 2021-01-01
description In this paper, we give some conditions to prove the existence of solutions for a nonlinear boundary value problem of fractional differential equations with higher order q, (n-1< q<n), involving Riemann-Liouville fractional derivative. The solutions are discussed in a weighted fractional Riemann-Liouville Sobolev space using Schauder's fixed point theorem. An example is given to illustrate the main results.
topic fractional differential equations
existence results
weighted sobolev space
fixed point theorem.
url https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/2021(1)/35-48.pdf
work_keys_str_mv AT ahmedhallaci newexistenceresultsforfractionaldifferentialequationsinaweightedsobolevspace
AT hamidboulares newexistenceresultsforfractionaldifferentialequationsinaweightedsobolevspace
AT abdelouahebardjouni newexistenceresultsforfractionaldifferentialequationsinaweightedsobolevspace
AT abderrazakchaoui newexistenceresultsforfractionaldifferentialequationsinaweightedsobolevspace
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