Stability Analysis of Conformable Fractional Systems

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 7، شماره 1 - شماره پیاپی 11، تیر 2017، صفحه 13-32   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v7i1.46917

نویسندگان

H. Rezazadeh¹؛ H. Aminikhah^{* 1}؛ A.H. Refahi Sheikhani²

¹Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1914, Rasht, Iran.

²Department of Applied Mathematics, Faculty of Mathematical Sciences, Islamic Azad University, Lahijan Branch, P.O. Box 1616, Lahijan, Iran.

چکیده

‎ 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 Lotka-Volterra system with the multi-step homotopy perturbation method to demonstrate the efficiency and effectiveness of the proposed procedure.

کلیدواژه‌ها

Stability analysis؛ Asymptotical stability؛ Conformable fractional derivative؛ Lotka-Volterra system

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