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Keywords: Fractional calculus
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Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111009.
Paper No: CND-18-1068
Published Online: September 17, 2018
... for publication in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received February 18, 2018; final manuscript received August 22, 2018; published online September 17, 2018. Assoc. Editor: Bernard Brogliato. 18 02 2018 22 08 2018 Control Fractional calculus...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111005.
Paper No: CND-17-1495
Published Online: September 10, 2018
... Province, China (Grant No. DRA2015518). References [1] Podlubny , I. , 1999 , Fractional Differential Equations , Academic Press , San Diego, CA . [2] Magin , R. L. , 2004 , “ Fractional Calculus in Bioengineering ,” Crit. Rev. Biomed. Eng. , 32 ( 2 ), pp. 1 – 104 . 10.1615...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111003.
Paper No: CND-17-1454
Published Online: August 27, 2018
... received July 11, 2018; published online August 27, 2018. Assoc. Editor: Dumitru Baleanu. 10 10 2017 11 07 2018 Algorithms Computational mechanics Fractional calculus Integration methods Fractional differential equations (FDEs) have drawn increasing attention and interest...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101007.
Paper No: CND-18-1007
Published Online: August 22, 2018
... . Manuscript received January 6, 2018; final manuscript received July 21, 2018; published online August 22, 2018. Assoc. Editor: Brian Feeny. 06 01 2018 21 07 2018 Algorithms Fractional calculus Nonlinear dynamical systems Numerical Integration methods Fractional differential...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101010.
Paper No: CND-18-1183
Published Online: August 22, 2018
... in the J OURNAL OF C OMPUTATIONAL AND N ONLINEAR D YNAMICS . Manuscript received April 23, 2018; final manuscript received July 31, 2018; published online August 22, 2018. Assoc. Editor: Dumitru Baleanu. 23 04 2018 31 07 2018 Algorithms Fractional calculus Nonlinear dynamical...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090905.
Paper No: CND-17-1317
Published Online: July 26, 2018
... Algorithms Fractional calculus Integration methods During the last several decades, fractional calculus has been developed very quickly due to its various applications in fields of engineering, mechanics, physics, economics, and biology; see Refs. [ 1 – 9 ]. It is known that there have existed...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090903.
Paper No: CND-17-1264
Published Online: July 26, 2018
... . Manuscript received June 13, 2017; final manuscript received March 11, 2018; published online July 26, 2018. Assoc. Editor: Themistoklis Sapsis. 13 06 2017 11 03 2018 Chaotic dynamics Control Fractional calculus Stability of nonlinear systems Fractional calculus shares...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090906.
Paper No: CND-17-1344
Published Online: July 26, 2018
... been studying the combined dynamics of coexisting hidden attractors as in Refs. [ 10 – 12 ] and [ 14 – 17 ]. However, such study reported so far in the literature is only confined to integer-order (IO) dynamics. Fractional calculus has seen a dramatic rise in engineering, biological and medical...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2018, 13(9): 090907.
Paper No: CND-17-1369
Published Online: July 26, 2018
... 26, 2018. Assoc. Editor: Dumitru Baleanu. 10 08 2017 05 11 2017 Control Fractional calculus Stability of nonlinear systems The purpose of fractional calculus is to generalize standard derivatives into noninteger order operators. As well acknowledged in the literature...
Journal Articles
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. August 2018, 13(8): 084501.
Paper No: CND-17-1391
Published Online: June 18, 2018
.... National Natural Science Foundation of China (Grant Nos. 41030331, 11572356, and 11672337). References [1] Bagley , L. , and Torvik , J. , 1983 , “ A Theoretical Basis for the Application of Fractional Calculus to Viscoelasticity ,” J. Rheol. , 27 ( 3 ), pp. 201 – 210 . 10.1122...
Topics: Algorithms
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081002.
Paper No: CND-17-1555
Published Online: June 18, 2018
...; final manuscript received May 15, 2018; published online June 18, 2018. Assoc. Editor: Dumitru Baleanu. 08 12 2017 15 05 2018 Algorithms Fractional calculus Numerical Integration methods Recently, fractional calculus (FC), the theory of differentiation and integration...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2018, 13(7): 071007.
Paper No: CND-18-1047
Published Online: May 30, 2018
... With Rational Orders: A Survey ,” Fractional Calculus Appl. Anal. , 12 ( 3 ), pp. 269 – 298 . http://www.math.bas.bg/complan/fcaa/volume12/fcaa123/IvoPetras_FCAA_12_3.pdf [35] Li , Y. , Chen , Y. Q. , and Podlubny , I. , 2009 , “ Mittag-Leffler Stability of Fractional Order Nonlinear...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2018, 13(6): 061007.
Paper No: CND-17-1522
Published Online: May 2, 2018
..., 2017; final manuscript received April 4, 2018; published online May 2, 2018. Assoc. Editor: Zaihua Wang. 27 11 2017 04 04 2018 Control Fractional calculus Nonlinear dynamical systems Time delay systems Stability of nonlinear systems Fractional calculus is a developed...
Topics: Optimal control
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2018, 13(6): 061004.
Paper No: CND-17-1534
Published Online: April 18, 2018
... 2017 25 03 2018 Fractional calculus Nonlinear dynamical systems Bed-load transport is one of the most complex hydrological processes whose nonlinear dynamics have not been fully understood and computational models have not been fully developed. Bed-load transport affects river...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2018, 13(5): 051006.
Paper No: CND-17-1408
Published Online: April 2, 2018
... are illustrated through matlab simulations to demonstrate the usefulness of the introduced control technique. 1 Corresponding author. Control Fractional calculus Nonlinear dynamical systems Stability Stability of nonlinear systems Mechanical systems are generally subjected to various kinds...
Journal Articles
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2018, 13(5): 051003.
Paper No: CND-17-1511
Published Online: March 23, 2018
... ] investigated the bifurcation and resonance phenomena in a fractional Mathieu–Duffing oscillator with a fast parametric excitation and a slow external excitation. Fractional calculus Nonlinear oscillations Vibration 20 11 2017 01 03 2018 Contributed by the Design Engineering...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031009.
Paper No: CND-17-1427
Published Online: January 24, 2018
...; published online January 24, 2018. Assoc. Editor: Dumitru Baleanu. 20 09 2017 10 12 2017 Computational kinematics Fractional calculus Nonlinear dynamical systems Nonlinear oscillations Nonlinear phenomena Dynamics Vibration A weak signal can be amplified by nonlinear...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031004.
Paper No: CND-17-1056
Published Online: January 10, 2018
...Tran Minh Duc; Ngo Van Hoa; Thanh-Phong Dao This paper investigates a novel adaptive fuzzy fractional-order nonsingular terminal sliding mode controller (AFFO-NTSMC) for second-order nonlinear dynamic systems. The technique of fractional calculus and nonsingular terminal sliding mode control (NTSMC...
Journal Articles
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2018, 13(3): 031003.
Paper No: CND-16-1436
Published Online: January 10, 2018
... September 19, 2016; final manuscript received November 6, 2017; published online January 10, 2018. Editor: Bala Balachandran. 19 09 2016 06 11 2017 Control Fractional calculus Nonlinear dynamical systems Nonlinear oscillations Stability Stability of nonlinear systems Vibration...