Application of the Lie Symmetry Analysis for second-order fractional differential equations

Subject Areas : Numerical Analysis

Mousa Ilie ¹ , Jafar Biazar ^{2 *} , Zeinab Ayati ³

1 - Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran
2 - Department of Mathematics, Faculty of Science, University of Guilan
3 - Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

Received: 2017-03-29 Accepted : 2017-05-29 Published : 2017-12-01

Keywords: fractional differential equations, Lie Symmetry method, conformable fractional derivative,

Abstract :

Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issue among mathematicians and engineers, specifically in recent years. The purpose of this paper Lie Symmetry method is developed to solve second-order fractional differential equations, based on conformable fractional derivative. Some numerical examples are presented to illustrate the proposed approach.