Stability analysis of Caputo-like discrete fractional systems

Baleanu, Dumitru

dc.contributor.author	Baleanu, Dumitru
dc.date.accessioned	2018-10-10T15:11:49Z
dc.date.available	2018-10-10T15:11:49Z
dc.date.issued	2017-07
dc.identifier.citation	Baleanu, 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.2017.01.002	tr_TR
dc.identifier.issn	1007-5704
dc.identifier.uri	http://hdl.handle.net/20.500.12416/1853
dc.description.abstract	This 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.	tr_TR
dc.language.iso	eng	tr_TR
dc.publisher	Elsevier Science Bv.	tr_TR
dc.relation.isversionof	10.1016/j.cnsns.2017.01.002	tr_TR
dc.rights	info:eu-repo/semantics/embargoedAccess	tr_TR
dc.subject	Fractional Difference Equations	tr_TR
dc.subject	Monotonicity	tr_TR
dc.subject	Asymptotic Stability	tr_TR
dc.subject	Caputo-Like Delta Difference	tr_TR
dc.title	Stability analysis of Caputo-like discrete fractional systems	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Communications In Nonlinear Science And Numerical Simulation	tr_TR
dc.identifier.volume	48	tr_TR
dc.identifier.startpage	520	tr_TR
dc.identifier.endpage	530	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bilgisayar Bölümü	tr_TR