Open AccessStability Analysis of Perturbed Linear Non-integer Differential Systems
Author(s) -
Ubong D. Akpan
Publication year - 2021
Publication title -
journal of advances in mathematics and computer science
Language(s) - English
Resource type - Journals
ISSN - 2456-9968
DOI - 10.9734/jamcs/2021/v36i630370
Subject(s) - mathematics , perturbation (astronomy) , derivative (finance) , stability (learning theory) , mathematical analysis , linear differential equation , fractional calculus , differential equation , integer (computer science) , linear stability , exponential stability , differential (mechanical device) , linear system , nonlinear system , physics , computer science , thermodynamics , quantum mechanics , machine learning , financial economics , economics , programming language
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.