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Research Article Open access CC BY 4.0

Stability Analysis of Perturbed Linear Non-integer Differential Systems

Ubong D. Akpan

Journal of Advances in Mathematics and Computer Science · pp. 24–29 · Published 24 Jul 2021

10.9734/jamcs/2021/v36i630370

Abstract

In this work, the effect of perturbation on linear fractional differential system is studied. The analysis is done using Riemann-Liouville derivative and the conclusion extended to using Caputo derivative since the result is similar. Conditions for determining the stability and asymptotic stability of perturbed linear fractional differential system are given.

Asymptotic stability riemann-liouville derivative caputo derivative perturbed fractional differential systems

References (3)

  1. 1 Fractional Differential Equations [DOI]
  2. 2 Advances in Fractional Calculus [DOI]
  3. 3 A Fractional Variational Approach to the Fractional Basset-Type Equation [DOI]

Cited by 2

Analysis of Fractional Input Stability and Global Asymptotic Stability of Systems of Fractional Differential Equations

Ubong D. Akpan · African Journal of Mathematics and Statistics Studies · 2025

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