Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations

In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating...

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Main Authors: Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi
Format: Article
Language:English
Published: Universidad de La Frontera 2021-08-01
Series:Cubo
Subjects:
hadamard fractional integral
hadamard fractional derivative
multi-point boundary conditions
existence
fixed point theorems
Online Access:http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084
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spelling doaj-d0e1a0a5678e4e3db8839b51da4d04f02021-09-29T18:44:49ZengUniversidad de La FronteraCubo0716-77760719-06462021-08-0123222523710.4067/S0719-06462021000200225Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equationsBashir Ahmad0https://orcid.org/0000-0001-5350-2977Amjad F. Albideewi1https://orcid.org/0000-0001-5793-6756Sotiris K. Ntouyas2https://orcid.org/0000-0002-7695-2118Ahmed Alsaedi3https://orcid.org/0000-0003-3452-8922Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.University of Ioannina, 451 10 Ioannina, Greece – Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084hadamard fractional integralhadamard fractional derivativemulti-point boundary conditionsexistencefixed point theorems
collection DOAJ
language English
format Article
sources DOAJ
author Bashir Ahmad
Amjad F. Albideewi
Sotiris K. Ntouyas
Ahmed Alsaedi
spellingShingle Bashir Ahmad
Amjad F. Albideewi
Sotiris K. Ntouyas
Ahmed Alsaedi
Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
Cubo
hadamard fractional integral
hadamard fractional derivative
multi-point boundary conditions
existence
fixed point theorems
author_facet Bashir Ahmad
Amjad F. Albideewi
Sotiris K. Ntouyas
Ahmed Alsaedi
author_sort Bashir Ahmad
title Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
title_short Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
title_full Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
title_fullStr Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
title_full_unstemmed Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations
title_sort existence results for a multipoint boundary value problem of nonlinear sequential hadamard fractional differential equations
publisher Universidad de La Frontera
series Cubo
issn 0716-7776
0719-0646
publishDate 2021-08-01
description In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.
topic hadamard fractional integral
hadamard fractional derivative
multi-point boundary conditions
existence
fixed point theorems
url http://revistas.ufro.cl/ojs/index.php/cubo/article/view/2712/2084
work_keys_str_mv AT bashirahmad existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations
AT amjadfalbideewi existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations
AT sotiriskntouyas existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations
AT ahmedalsaedi existenceresultsforamultipointboundaryvalueproblemofnonlinearsequentialhadamardfractionaldifferentialequations
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