Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 33Citation - Scopus: 40Higher Order Fractional Variational Optimal Control Problems With Delayed Arguments(Elsevier Science inc, 2012) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , ThabetThis article deals with higher order Caputo fractional variational problems in the presence of delay in the state variables and their integer higher order derivatives. (C) 2012 Elsevier Inc. All rights reserved.Article Citation - WoS: 41Citation - Scopus: 46Fractional Variational Principles With Delay Within Caputo Derivatives(Pergamon-elsevier Science Ltd, 2010) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , ThabetIn this paper we investigate the fractional variational principles within Caputo derivatives in the presence of delay derivatives. The corresponding Euler-Lagrange equations are obtained for the case of one dependent variable. A generalization to it dependent variables is obtained. Physical example is analyzed in detail.Article Citation - WoS: 48Citation - Scopus: 57Fractional Variational Optimal Control Problems With Delayed Arguments(Springer, 2010) Jarad, Fahd; Abdeljawad, Thabet; Baleanu, DumitruThe paper deals with optimal control problems in the presence of delay in the state variables as well as the presence of the Riemann-Liouville fractional derivatives of the state variables. One example is analyzed in detail.Article Citation - WoS: 74Citation - Scopus: 86On the Existence and the Uniqueness Theorem for Fractional Differential Equations With Bounded Delay Within Caputo Derivatives(Science Press, 2008) Abdeljawad, Thabet; Jarad, Fahd; Baleanu, Dumitru; Maraaba, Thabet AbdeljawadLocal and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipschitz and the continuity kind conditions are analyzed.
