Stability Analysis of ConformableFractional Systeems

Publish Year: 1395
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJNAO-7-1_002

تاریخ نمایه سازی: 6 شهریور 1396

Abstract:

In this paper, we investigate stability analysis of fractional di erential systems equipped with the conformable fractional derivatives. Some stabil- ity conditions of fractional di erential systems are proposed by applying the fractional exponential function and the fractional laplace transform . more over, we check the stabiltiy of conformable fractional lotka-volterra system with the multi-step homotopy perturbation method to demonstrate the effi ciency and effectivencess of the proposed procedure.

Keywords:

Stability analysis , Asymptotical stability , Conformable fractional. Dertivative lotka-volterra system

Authors

H. Rezazadeh,

Department of Applied Mathematics, Faculty of Mathematical Sciences, University ofGuilan, P.O. Box ۱۹۱۴, Rasht, Iran.

H. Aminikhah

Department of applied methematics faculty of mathematical sciences university of guilan . P.O box ۱۹۱۴, rasht iran

A.H Refahi sheikhani

Department of Applied Mathematics, Faculty of Mathematical Sciences, Islamic Azad Uni-versity, Lahijan Branch, P.O. Box ۱۶۱۶, Lahijan, Iran