Browsing by Author "Abdeljawad , Thabet"

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Citation - WoS: 41
Citation - Scopus: 46
Fractional Variational Principles With Delay Within Caputo Derivatives
(Pergamon-elsevier Science Ltd, 2010) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , Thabet
In 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.
Citation - WoS: 33
Citation - Scopus: 40
Higher Order Fractional Variational Optimal Control Problems With Delayed Arguments
(Elsevier Science inc, 2012) Jarad, Fahd; Abdeljawad (Maraaba), Thabet; Baleanu, Dumitru; Abdeljawad , Thabet
This 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.
Citation - WoS: 20
Citation - Scopus: 26
Vartiational Optimal-Control Problems With Delayed Arguments on Time Scales
(Springer, 2009) Abdeljawad (Maraaba), Thabet; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad , Thabet
This paper deals with variational optimal-control problems on time scales in the presence of delay in the state variables. The problem is considered on a time scale unifying the discrete, the continuous, and the quantum cases. Two examples in the discrete and quantum cases are analyzed to illustrate our results. Copyright (C) 2009 Thabet Abdeljawad (Maraaba) et al.