Stability Analysis of Perturbed Linear Non-integer Differential Systems
Ubong D. Akpan *
Department of Mathematics, Akwa Ibom State University, Mkpat Enin, Nigeria.
*Author to whom correspondence should be addressed.
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.
Keywords: Asymptotic stability, riemann-liouville derivative, caputo derivative, perturbed fractional differential systems