Stability analysis of linear conformable fractional differential equations system with time delays

Vahid Mohammadnezhad; Mostafa Eslami; Hadi Rezazadeh

doi:10.5269/bspm.v38i6.37010

Vahid Mohammadnezhad University of Mazandaran Faculty of Mathematical Sciences Department of Mathematics
Mostafa Eslami University of Mazandaran Faculty of Mathematical Sciences Department of Mathematics
Hadi Rezazadeh Amol University of Special Modern Technologies Faculty of Engineering Technology

DOI: https://doi.org/10.5269/bspm.v38i6.37010

Résumé

In this paper, we first study stability analysis of linear conformable fractional differential equations system with time delays. Some sufficient conditions on the asymptotic stability for these systems are proposed by using properties of the fractional Laplace transform and fractional version of final value theorem. Then, we employ conformable Euler’s method to solve conformable fractional differential equations system with time delays to illustrate the effectiveness of our theoretical results

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