Baleanu, Dumitru2018-10-102018-10-102017-07Baleanu, D..., [et.al.]. (2017). Stability analysis of Caputo-like discrete fractional systems. Communications In Nonlinear Science And Numerical Simulation, 48,520-530.http://dx.doi.org/ 10.1016/j.cnsns.2017.01.0021007-5704http://hdl.handle.net/20.500.12416/1853This study investigates stability of Caputo delta fractional difference equations. Solutions' monotonicity and asymptotic stability of a linear fractional difference equation are discussed. A stability theorem for a discrete fractional Lyapunov direct method is proved. Furthermore, an inequality is extended from the continuous case and a sufficient condition is given. Some linear, nonlinear and time varying examples are illustrated and the results show wide prospects of the stability theorems in fractional control systems of discrete time.enginfo:eu-repo/semantics/embargoedAccessFractional Difference EquationsMonotonicityAsymptotic StabilityCaputo-Like Delta Differencearticle48520530