On Local Asymptotic Stability of q-Fractional Nonlinear Dynamical Systems

Authors

Ilknur Koca, Mehmet Akif Ersoy University
Elif Demirci, Ankara University

Abstract

In this paper, locally asymptotic stability of q-fractional order nonlinear dynamical systems is introduced and studied. The sufficient conditions for local stability of such dynamical systems are obtained. Also, useful definitions of fractional order q-integrals and q-derivatives are recalled. Finally, a q-fractional order nonlinear dynamical model is considered.

Recommended Citation

Koca, Ilknur and Demirci, Elif (2016). On Local Asymptotic Stability of q-Fractional Nonlinear Dynamical Systems, Applications and Applied Mathematics: An International Journal (AAM), Vol. 11, Iss. 1, Article 10.
Available at: https://digitalcommons.pvamu.edu/aam/vol11/iss1/10