Lie symmetry analysis of conformable differential equations

Youness Chatibi; El Hassan El Kinani; Abdelaziz Ouhadan; Youness Chatibi; El Hassan El Kinani; Abdelaziz Ouhadan

doi:10.3934/math.2019.4.1133

AIMS Mathematics

2019, Volume 4, Issue 4: 1133-1144. doi: 10.3934/math.2019.4.1133

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Lie symmetry analysis of conformable differential equations

1.
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, Morocco

Received: 28 June 2019 Accepted: 05 August 2019 Published: 13 August 2019
MSC : 26A33, 70G65, 76M60

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.
- conformable derivative,
- fractional differential equations,
- Lie symmetry,
- conformable heat equation
Citation: Youness Chatibi, El Hassan El Kinani, Abdelaziz Ouhadan. Lie symmetry analysis of conformable differential equations[J]. AIMS Mathematics, 2019, 4(4): 1133-1144. doi: 10.3934/math.2019.4.1133

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Abstract

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.

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