ANALYSIS STABILITY FOR A FRACTIONAL
VOLTERRA MODEL WITH TWO CONTROLS

Mihai Ivan

West University of Timişoara
Geometry and Topology Seminar, Teacher Training Dept.
Timişoara – 300223, ROMANIA

Abstract


Abstract. The main purpose of this paper is to study the fractional-order system with Caputo derivative associated to 3-dimensional Volterra model with two controls. For this fractional system we investigate the existence and uniqueness of solution of initial value problem, asymptotic stability of its equilibrium states, stabilization problem using appropriate controls and numerical integration via the fractional Euler method.

Received: 22 August 2023

AMS Subject Classification: 26A33, 34A08, 65P20, 70H05

Key Words and Phrases: 3-dimensional fractional-order Volterra model with two controls, asymptotic stability, control of stability, numerical integration

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How to cite this paper?
DOI: 10.12732/ijam.v36i6.5
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2023
Volume: 36
Issue: 6
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