Lie symmetry analysis of some time fractional partial differential equations-Reference-Cited by-同舟云学术

Lie symmetry analysis of some time fractional partial differential equations

Published:2015-01 Issue: Volume:38 Page:1560075
ISSN:2010-1945
Container-title:International Journal of Modern Physics: Conference Series
language:en
Short-container-title:Int. J. Mod. Phys. Conf. Ser.

Author:

El Kinani E. H.¹²,Ouhadan A.³

Affiliation:

1. A.A Group, Mathematical Department, Moulay Ismaïl University, Faculty of Sciences and Technics Errachidia, BP 509, Morocco

2. Université Moulay Ismaïl Ecole Nationale Supérieure, des Arts et Métiers (ENSAM), Meknès, BP 15290 Al Mansour, Morocco

3. Centre Régional des Métiers de l'Education et de la Formation, Meknès, BP 255, Morocco

Abstract

This paper uses Lie symmetry analysis to reduce the number of independent variables of time fractional partial differential equations. Then symmetry properties have been employed to construct some exact solutions.

Publisher

World Scientific Pub Co Pte Lt

Link

https://www.worldscientific.com/doi/pdf/10.1142/S2010194515600757

Reference17 articles.

1. Recent applications of fractional calculus to science and engineering

2. A new modification of the Adomian decomposition method for linear and nonlinear operators

3. A fractional variational iteration method for solving fractional nonlinear differential equations

4. The fractional variational iteration method improved with the Adomian series

5. Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations

Cited by 36 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Symmetry analysis, optimal system, conservation laws and exact solutions of time-fractional diffusion-type equation;International Journal of Geometric Methods in Modern Physics;2024-08-20

2. Group classification for one type of space-time fractional quasilinear parabolic equation;Quantum Studies: Mathematics and Foundations;2024-06-23

3. Lie Symmetry Analysis, Power Series Solutions and Conservation Laws of (2+1)-Dimensional Time Fractional Modified Bogoyavlenskii–Schiff Equations;Journal of Nonlinear Mathematical Physics;2024-05-13

4. Lie symmetry, exact solutions and conservation laws of time fractional Black–Scholes equation derived by the fractional Brownian motion;Journal of Applied Analysis;2024-01-11

5. Lie symmetries, invariant subspace method, and conservation laws for a time fractional generalized Broer–Kaup system;Computational and Applied Mathematics;2024-01-02