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

محورهای موضوعی : 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)

تاریخ دریافت : 1396/01/09 تاریخ پذیرش : 1396/03/08 تاریخ انتشار : 1396/09/10

کلید واژه: fractional differential equations, Lie Symmetry method, conformable fractional derivative,

چکیده مقاله :

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.

چکیده انگلیسی:

بـه دسـت آوردن راه حـل تحلیلـی یا عددی معادلات دیفرانسـیل کسـری بـه ویژه در سـال هـای اخیر ،یکی از مسـائل مشـکل و چالـش برانگیز در میـان ریاضیدانان و مهندسـان اسـت.هدف از ایـن مقالـه توسـعه روش تقـارن لی برای حـل معادلات دیفرانسـیل جزئی مرتبه دوم بر اسـاس مشـتق کسـری قابل انطباق اسـت. برخی از نمونـه هـای عددی برای نشـان دادن رویکرد پیشـنهادی ارائه شـده اسـت. 

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