Stability Analysis of Conformable Fractional Systems

نویسندگان
Refahi Sheikhani, A.H. ID 1
Rezazadeh, H. ID 2
Aminikhah, H. ID 3

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

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

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

doi
10.22067/ijnao.v7i1.46917
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