Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line

The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r∈(1,2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considere...

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Main Authors: Mouffak Benchohra, John R. Graef, Nassim Guerraiche, Samira Hamani
Format: Article
Language:English
Published: AIMS Press 2021-04-01
Series:AIMS Mathematics
Subjects:
existence
fractional differential inclusions
caputo-hadamard type derivative
diagonalization method
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021368?viewType=HTML
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spelling doaj-f8fc554de2ae401197b1202042e4cc822021-04-14T01:53:51ZengAIMS PressAIMS Mathematics2473-69882021-04-01666278629210.3934/math.2021368Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half lineMouffak Benchohra0 John R. Graef1Nassim Guerraiche2Samira Hamani31. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P.O. Box 89, Sidi Bel-Abbès 22000, ALGERIA2. Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA3. Laboratoire des Mathématiques Appliqués et Pures, Université de Mostaganem, B.P. 227, 27000, Mostaganem, ALGERIE3. Laboratoire des Mathématiques Appliqués et Pures, Université de Mostaganem, B.P. 227, 27000, Mostaganem, ALGERIEThe authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r∈(1,2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.https://www.aimspress.com/article/doi/10.3934/math.2021368?viewType=HTMLexistencefractional differential inclusionscaputo-hadamard type derivativediagonalization method
collection DOAJ
language English
format Article
sources DOAJ
author Mouffak Benchohra
John R. Graef
Nassim Guerraiche
Samira Hamani
spellingShingle Mouffak Benchohra
John R. Graef
Nassim Guerraiche
Samira Hamani
Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
AIMS Mathematics
existence
fractional differential inclusions
caputo-hadamard type derivative
diagonalization method
author_facet Mouffak Benchohra
John R. Graef
Nassim Guerraiche
Samira Hamani
author_sort Mouffak Benchohra
title Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
title_short Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
title_full Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
title_fullStr Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
title_full_unstemmed Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line
title_sort nonlinear boundary value problems for fractional differential inclusions with caputo-hadamard derivatives on the half line
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2021-04-01
description The authors establish sufficient conditions for the existence of solutions to a boundary value problem for fractional differential inclusions involving the Caputo-Hadamard type derivative of order r∈(1,2] on infinite intervals. Both cases of convex and nonconvex valued right hand sides are considered. The technique of proof involves fixed point theorems combined with a diagonalization method.
topic existence
fractional differential inclusions
caputo-hadamard type derivative
diagonalization method
url https://www.aimspress.com/article/doi/10.3934/math.2021368?viewType=HTML
work_keys_str_mv AT mouffakbenchohra nonlinearboundaryvalueproblemsforfractionaldifferentialinclusionswithcaputohadamardderivativesonthehalfline
AT johnrgraef nonlinearboundaryvalueproblemsforfractionaldifferentialinclusionswithcaputohadamardderivativesonthehalfline
AT nassimguerraiche nonlinearboundaryvalueproblemsforfractionaldifferentialinclusionswithcaputohadamardderivativesonthehalfline
AT samirahamani nonlinearboundaryvalueproblemsforfractionaldifferentialinclusionswithcaputohadamardderivativesonthehalfline
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