Other language title :
Stability Analysis of Conformable Fractional Systems
Title of article :
تحليل پايداري سيستم هاي كسري منطبق شدني
Author/Authors :
Rezazadeh، H. نويسنده Faculty of Mathematical Sciences,Department of Applied Mathematics,University of Guilan,Rasht,Iran , , Aminikhah، H. نويسنده Faculty of Mathematical Sciences,Department of Applied Mathematics,University of Guilan,Rasht,Iran , , Refahi Sheikhani، A.H. نويسنده Faculty of Mathematical Sciences,Department of Applied Mathematics,Islamic Azad University, Lahijan Branch,Lahijan,Iran ,
Issue Information :
دوفصلنامه با شماره پیاپی سال 2017
Abstract :
در اين مقاله، به بررسي تجزيه و تحليل پايداري سيستم هاي ديفرانسيل كسري شامل مشتق كسري منطبق شدني مي پردازيم. برخي از شرايط پايداري سيستم هاي ديفرانسيل كسري با استفاده از تابع نمايي كسري و تبديل لاپلاس كسري ارائه شده است. به علاوه براي نشان دادن اثربخشي و كارايي فرآيند ذكرشده، پايداري دستگاه كسري منطبق شدني لوتكاولترا را با روش چندگامي آشفتگي هوموتوپي بررسي مي كنيم.
Abstract :
In this paper, we investigate stability analysis of fractional differential systems equipped with the conformable fractional derivatives. Some stability conditions of fractional differential systems are proposed by applying the fractional exponential function and the fractional Laplace transform. Moreover, we check the stability of conformable fractional LotkaVolterra system with the multistep homotopy perturbation method to demonstrate the efficiency and effectiveness of the proposed procedure.
Keywords :
stability analysis , Asymptotical stability , Conformable fractional derivative , LotkaVolterra system.
Journal title :
Iranian Journal of Numerical Analysis and Optimization
Journal title :
Iranian Journal of Numerical Analysis and Optimization
