Lie symmetry analysis of conformable differential equations

Lie symmetry analysis of conformable differential equations

In this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and partial differential equations. Using Lie symmetry...

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Bibliographic Details
Main Authors: Youness Chatibi, El Hassan El Kinani, Abdelaziz Ouhadan
Format: Article
Language:English
Published: AIMS Press 2019-08-01
Series:AIMS Mathematics
Subjects:
conformable derivative
fractional differential equations
Lie symmetry
conformable heat equation
Online Access:https://www.aimspress.com/article/10.3934/math.2019.4.1133/fulltext.html
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spelling doaj-17ffcfa8edfd402285ddac1c393d75442020-11-25T00:59:38ZengAIMS PressAIMS Mathematics2473-69882019-08-01441133114410.3934/math.2019.4.1133Lie symmetry analysis of conformable differential equationsYouness Chatibi0El Hassan El Kinani1Abdelaziz Ouhadan21 Équipe Modélisation Mathématique et Calcul Scientifiques, Département de Mathématiques, École Nationale Supérieure des Arts et Métiers, Université Moulay Ismaïl, Meknès, Morocco1 Équipe Modélisation Mathématique et Calcul Scientifiques, Département de Mathématiques, École Nationale Supérieure des Arts et Métiers, Université Moulay Ismaïl, Meknès, Morocco1 Équipe Modélisation Mathématique et Calcul Scientifiques, Département de Mathématiques, École Nationale Supérieure des Arts et Métiers, Université Moulay Ismaïl, Meknès, Morocco 2 Centre Régional des Métiers de l’ Éducation et de la Formation, Fès-Meknès, MoroccoIn this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and partial differential equations. Using Lie symmetry analysis, we obtain an exact solution of the conformable heat equation.https://www.aimspress.com/article/10.3934/math.2019.4.1133/fulltext.htmlconformable derivativefractional differential equationsLie symmetryconformable heat equation
collection DOAJ
language English
format Article
sources DOAJ
author Youness Chatibi
El Hassan El Kinani
Abdelaziz Ouhadan
spellingShingle Youness Chatibi
El Hassan El Kinani
Abdelaziz Ouhadan
Lie symmetry analysis of conformable differential equations
AIMS Mathematics
conformable derivative
fractional differential equations
Lie symmetry
conformable heat equation
author_facet Youness Chatibi
El Hassan El Kinani
Abdelaziz Ouhadan
author_sort Youness Chatibi
title Lie symmetry analysis of conformable differential equations
title_short Lie symmetry analysis of conformable differential equations
title_full Lie symmetry analysis of conformable differential equations
title_fullStr Lie symmetry analysis of conformable differential equations
title_full_unstemmed Lie symmetry analysis of conformable differential equations
title_sort lie symmetry analysis of conformable differential equations
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2019-08-01
description In this paper, we construct a proper extension of the classical prolongation formula of point transformations for conformable derivative. This technique is illustrated and employed to construct a symmetry group admitted by a conformable ordinary and partial differential equations. Using Lie symmetry analysis, we obtain an exact solution of the conformable heat equation.
topic conformable derivative
fractional differential equations
Lie symmetry
conformable heat equation
url https://www.aimspress.com/article/10.3934/math.2019.4.1133/fulltext.html
work_keys_str_mv AT younesschatibi liesymmetryanalysisofconformabledifferentialequations
AT elhassanelkinani liesymmetryanalysisofconformabledifferentialequations
AT abdelazizouhadan liesymmetryanalysisofconformabledifferentialequations
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