A Study on the Solutions of a Multiterm FBVP of Variable Order

A Study on the Solutions of a Multiterm FBVP of Variable Order

In the present research study, for a given multiterm boundary value problem (BVP) involving the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness-existence properties are analyzed. To arrive at such an aim, we first investigate some specifications of this kind of...

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Main Authors: Zoubida Bouazza, Sina Etemad, Mohammed Said Souid, Shahram Rezapour, Francisco Martínez, Mohammed K. A. Kaabar
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/9939147
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spelling doaj-f405b43bd3ee4ade900705d55bc304582021-06-07T02:12:27ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/9939147A Study on the Solutions of a Multiterm FBVP of Variable OrderZoubida Bouazza0Sina Etemad1Mohammed Said Souid2Shahram Rezapour3Francisco Martínez4Mohammed K. A. Kaabar5Laboratory of MathematicsDepartment of MathematicsDepartment of Economic SciencesDepartment of MathematicsDepartment of Applied Mathematics and StatisticsJabalia CampIn the present research study, for a given multiterm boundary value problem (BVP) involving the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness-existence properties are analyzed. To arrive at such an aim, we first investigate some specifications of this kind of variable order operator and then derive required criteria confirming the existence of solution. All results in this study are established with the help of two fixed-point theorems and examined by a practical example.http://dx.doi.org/10.1155/2021/9939147
collection DOAJ
language English
format Article
sources DOAJ
author Zoubida Bouazza
Sina Etemad
Mohammed Said Souid
Shahram Rezapour
Francisco Martínez
Mohammed K. A. Kaabar
spellingShingle Zoubida Bouazza
Sina Etemad
Mohammed Said Souid
Shahram Rezapour
Francisco Martínez
Mohammed K. A. Kaabar
A Study on the Solutions of a Multiterm FBVP of Variable Order
Journal of Function Spaces
author_facet Zoubida Bouazza
Sina Etemad
Mohammed Said Souid
Shahram Rezapour
Francisco Martínez
Mohammed K. A. Kaabar
author_sort Zoubida Bouazza
title A Study on the Solutions of a Multiterm FBVP of Variable Order
title_short A Study on the Solutions of a Multiterm FBVP of Variable Order
title_full A Study on the Solutions of a Multiterm FBVP of Variable Order
title_fullStr A Study on the Solutions of a Multiterm FBVP of Variable Order
title_full_unstemmed A Study on the Solutions of a Multiterm FBVP of Variable Order
title_sort study on the solutions of a multiterm fbvp of variable order
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8888
publishDate 2021-01-01
description In the present research study, for a given multiterm boundary value problem (BVP) involving the nonlinear fractional differential equation (NnLFDEq) of variable order, the uniqueness-existence properties are analyzed. To arrive at such an aim, we first investigate some specifications of this kind of variable order operator and then derive required criteria confirming the existence of solution. All results in this study are established with the help of two fixed-point theorems and examined by a practical example.
url http://dx.doi.org/10.1155/2021/9939147
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