论文信息 - Stability of discrete fractional-order nonlinear systems with the nabla Caputo difference - 字舞流文

Stability of discrete fractional-order nonlinear systems with the nabla Caputo difference

Abstract In this paper, using the Lyapunov's direct method, the stability of discrete non-autonomous systems with the nabla Caputo fractional difference is studied. The conditions for different kind of stability are presented.

Ewa Girejko | Dorota Mozyrska | Małgorzata Wyrwas | E. Girejko | D. Mozyrska | M. Wyrwas

[1] D. Baleanu,et al. On the Stability of Some Discrete Fractional Nonautonomous Systems , 2012 .

[2] Dazhi Zhang,et al. Local existence and uniqueness of solutions of a degenerate parabolic system , 2011 .

[3] Igor Podlubny,et al. Mittag-Leffler stability of fractional order nonlinear dynamic systems , 2009, Autom..

[4] Yong Zhou,et al. Existence Results for Nonlinear Fractional Difference Equation , 2011 .

[5] Paul W. Eloe,et al. DISCRETE FRACTIONAL CALCULUS WITH THE NABLA OPERATOR , 2009 .

[6] Ewa Girejko,et al. A sufficient condition of viability for fractional differential equations with the Caputo derivative , 2011 .

[7] Thabet Abdeljawad,et al. On the Definitions of Nabla Fractional Operators , 2012 .

[8] Delfim F. M. Torres,et al. Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives , 2010, 1007.2937.

[9] Yangquan Chen,et al. Computers and Mathematics with Applications Stability of Fractional-order Nonlinear Dynamic Systems: Lyapunov Direct Method and Generalized Mittag–leffler Stability , 2022 .