Bulletin of the Korean Mathematical Society
Mittag-Leffler stability of nonlinear fractional nabla difference systems is defined and the Lyapunov direct method is employed to provide sufficient conditions for Mittag-Leffler stability of, and in some cases the stability of, the zero solution of a system nonlinear fractional nabla difference equations. For this purpose, we obtain several properties of the exponential and one parameter Mittag-Leffler functions of fractional nabla calculus. Two examples are provided to illustrate the applicability of established results.
1015-8634 (print); 2234-3016 (e-ISSN)
Korean Mathematical Society
fractional order nabla difference, discrete Mittag-Leffler function, discrete exponential function, N-transform, Mittag-Leffler stability
Eloe, Paul W. and Jonnalagadda, Jaganmohan, "Mittag–Leffler Stability of Systems of Fractional Nabla Difference Equations" (2019). Mathematics Faculty Publications. 204.