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Keywords: fractional calculus
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Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2023, 18(7): 071002.
Paper No: CND-21-1256
Published Online: April 17, 2023
... formulations encompass discrete-time sliding mode approaches [ 10 , 11 ]. In addition, fuzzy sliding mode controllers have been explored [ 12 , 13 ], furnishing improved performances in several scenarios. discrete-time systems fractional calculus fuzzy logic control sliding mode control 19...
Journal Articles
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2019, 14(1): 011005.
Paper No: CND-18-1287
Published Online: November 28, 2018
... principle fractional calculus During the last 60 years, dynamic optimization and issues related to optimal control theory have received a lot of attention. Various theories, and a large number of applications of optimal control, can be considered as an indicator of the impact of the theory...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041028.
Paper No: CND-15-1289
Published Online: May 24, 2016
... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received September 13, 2015; final manuscript received May 6, 2016; published online May 24, 2016. Assoc. Editor: Brian Feeny. 13 09 2015 06 05 2016 Control Fractional calculus Nonlinear dynamical systems...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2016, 11(4): 041030.
Paper No: CND-15-1371
Published Online: May 24, 2016
... National Foundation for Science and Technology Development (NAFOSTED). References [1] Miller , K. S. , and Ross , B. , 1993 , An Introduction to the Fractional Calculus and Fractional Differential Equations , Wiley , New York . [2] Oldham , K. B. , and Spanier , J. , 1974...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2015, 10(1): 011014.
Paper No: CND-13-1192
Published Online: October 13, 2014
...-order elements fractional calculus fractional differential equations This paper considers the energy aspects of fractional-order elements defined by the equation: force is proportional to the fractional-order derivative of displacement, with order varying from zero to two. In contrast...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2014, 9(3): 031003.
Paper No: CND-13-1030
Published Online: February 13, 2014
... Modes in Control Optimization , Springer Verlag , Berlin . [36] Lubich , C. , 1986 , “ Discretized Fractional Calculus ,” SIAM J. Math. Anal. , 17 , pp. 704 – 719 . 10.1137/0517050 [37] Lu , J. G. , 2005 , “ Chaotic Dynamics and Synchronization of Fractional-Order Arneodo's...
Journal Articles
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2013, 8(2): 021011.
Paper No: CND-12-1068
Published Online: August 31, 2012
... equations we conclude that our method gave comparable results. fractional calculus 0perational matrix Legendre polynomials Caputo derivative tau method Fractional calculus is an emerging field both in the theoretical and applied aspects [ 1–18 ]. During the last decades, several methods...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2011, 6(2): 021004.
Published Online: October 21, 2010
... > 1 (not shown) grow with increasing amplitude in time and with increasing rapidity as q increases. 19 10 2009 05 03 2010 21 10 2010 21 10 2010 differential equations zoology fractional calculus fractional differential equations fractional growth rate...