Application of the Lie Symmetry Analysis for second-order fractional differential equations
Subject Areas : Numerical Analysis
موسی
ایلی
1
(گروه ریاضی واحد رشت دانشگاه آزاد اسلامی رشت ایران)
جعفر
بی آزار
2
(Department of Mathematics, Faculty of Science, University of Guilan)
زینب
آیتی
3
(Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran)
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.
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