Ouannas, AdelAbdelmalek, SalemBendoukha, Samir2022-05-022022-05-022017-05-10Ouannas, A., Abdelmalek, S., & Bendoukha, S. (2017). Coexistence of some chaos synchronization types in fractional-order differential equations. Electronic Journal of Differential Equations, 2017(128), pp. 1-15.1072-6691https://hdl.handle.net/10877/15730Referring to incommensurate and commensurate fractional systems, this article presents a new approach to investigate the coexistence of some synchronization types between non-identical systems characterized by different dimensions and different orders. In particular, the paper shows that complete synchronization (CS), anti-synchronization (AS) and inverse full state hybrid function projective synchronization (IFSHFPS) coexist when synchronizing a three-dimensional master system with a four-dimensional slave system. The approach is based on two new results involving stability theory of linear fractional systems and the fractional Lyapunov method. A number of examples are provided to highlight the applicability of the method.Text15 pages1 file (.pdf)enAttribution 4.0 InternationalChaos synchronizationFractional-order systemsCoexistenceFractional Lyapunov approachArticle