On the selection and meaning of variable order operators for dynamic modeling.
Ramirez, Lynnette E.S., Coimbra, Carlos F.M. (2010)
International Journal of Differential Equations
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Ramirez, Lynnette E.S., Coimbra, Carlos F.M. (2010)
International Journal of Differential Equations
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Rajneesh Kumar, Poonam Sharma (2016)
Curved and Layered Structures
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This paper deals with the study of transverse vibrations in piezothermoelastic beam resonators with fractional order derivative. The fractional order theory of thermoelasticity developed by Sherief et al. [1] has been used to study the problem. The expressions for frequency shift and damping factor are derived for a thermo micro-electromechanical (MEM) and thermo nano-electromechanical (NEM) beam resonators clamped on one side and free on another. The effect of fractional order derivative...
Li, Ming, Lim, S.C., Chen, Shengyong (2011)
Mathematical Problems in Engineering
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Carpinteri, A., Chiaia, B., Cornetti, P. (2000)
Rendiconti del Seminario Matematico
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Debnath, Lokenath (2003)
International Journal of Mathematics and Mathematical Sciences
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Vázquez, Luis (2011)
Advances in Difference Equations [electronic only]
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Yakar, Coşkun (2010)
Abstract and Applied Analysis
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Gutiérrez, Ricardo Enrique, Rosário, João Maurício, Machado, José Tenreiro (2010)
Mathematical Problems in Engineering
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Zhang, Fengrong, Li, Changpin (2011)
Advances in Difference Equations [electronic only]
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Ibrahima N'Doye, Mohamed Darouach, Holger Voos, Michel Zasadzinski (2013)
International Journal of Applied Mathematics and Computer Science
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This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach,...
Ljubica Oparnica (2002)
Matematički Vesnik
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Xin, Baogui, Chen, Tong, Liu, Yanqin (2010)
Mathematical Problems in Engineering
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