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Keywords: calculus
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. July 2011, 6(3): 031014.
Published Online: March 2, 2011
...Isabel S. Jesus; J. Tenreiro Machado The advantageous use of fractional calculus (FC) in the modeling and control of many dynamical systems has been recognized. In this paper, we study the control of a heat diffusion system based on the application of the FC concepts. Several algorithms...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2010, 5(4): 041011.
Published Online: August 12, 2010
...Dumitru Baleanu; Sami I. Muslih; Eqab M. Rabei; Alireza K. Golmankhaneh; Ali K. Golmankhaneh Fractional calculus should be applied to various dynamical systems in order to be validated in practice. On this line of taught, the fractional extension of the classical dynamics is introduced...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2010, 5(4): 041012.
Published Online: August 12, 2010
... are clearly observed in the bifurcation diagrams with various excitation amplitude, frequency, and damping coefficient. 12 06 2009 19 10 2009 12 08 2010 12 08 2010 bifurcation calculus chaos damping nonlinear dynamical systems phase diagrams Runge-Kutta methods...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2008, 3(2): 021202.
Published Online: February 4, 2008
...Masaharu Kuroda In recent years, applications of fractional calculus have flourished in various science and engineering fields. Particularly in engineering, control engineering appears to be expanding aggressively in their applications. Exemplary are the CRONE controller and the PI λ D μ controller...
