Browsing by Author "Abdeljawad (Maraaba), T."

Now showing 1 - 3 of 3

Citation - WoS: 60
Citation - Scopus: 68
Lyapunov-Krasovskii Stability Theorem for Fractional Systems With Delay
(Editura Acad Romane, 2011) Baleanu, Dumitru; Baleanu, D.; Ranjbar N, A.; Abdeljawad, Thabet; Sadati R, S. J.; Delavari, R. H.; Abdeljawad (Maraaba), T.; Gejji, V.; Matematik
Fractional calculus techniques and methods started to be applied during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative and we extended Lyapunov-Krasovskii theorem for the fractional nonlinear systems.
Citation - WoS: 66
Citation - Scopus: 87
Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems With Delay
(Hindawi Ltd, 2010) Ranjbar, A.; Ghaderi, R.; Abdeljawad (Maraaba), T.; Sadati, S. J.; Baleanu, D.
Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and engineering. In this line of taught in this paper we studied the stability of fractional order nonlinear time-delay systems for Caputo's derivative, and we proved two theorems for Mittag-Leffler stability of the fractional nonlinear time delay systems.
Citation - WoS: 64
Citation - Scopus: 63
Razumikhin Stability Theorem for Fractional Systems With Delay
(Hindawi Ltd, 2010) Ranjbar, A.; Abdeljawad (Maraaba), T.; Jarad, Fahd; Baleanu, D.; Sadati, S. J.; Ghaderi, R.
Fractional calculus techniques and methods started to be applied successfully during the last decades in several fields of science and engineering. In this paper we studied the stability of fractional-order nonlinear time-delay systems for Riemann-Liouville and Caputo derivatives and we extended Razumikhin theorem for the fractional nonlinear time-delay systems.