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Volumn , Issue , 2011, Pages 80-84

Comparison of the methods for the calculation of fractional-order differential equations

Author keywords

fractional order differential equation; fractional order dynamic system; Laplace inversion; power series expansion

Indexed keywords

APPROXIMATE FORMULAS; COMPUTING TIME; FRACTIONAL ORDER; FRACTIONAL-ORDER DIFFERENTIAL EQUATION; FRACTIONAL-ORDER DYNAMIC SYSTEMS; FRACTIONAL-ORDER SYSTEMS; INTEGER ORDER; LAPLACE INVERSIONS; NUMERICAL CALCULATION; NUMERICAL INVERSION OF LAPLACE TRANSFORM; OPTIMIZATION METHOD; POWER SERIES EXPANSIONS; REAL OBJECTS;

EID: 79961187349     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CarpathianCC.2011.5945820     Document Type: Conference Paper
Times cited : (7)

References (22)
  • 3
    • 20844444424 scopus 로고
    • From Fractality to non Integer Derivation through Recursivity, a Property Common to these two Concepts: A Fundamental Idea from a new Process Control Strategy
    • A. Oustaloup, "From Fractality to non Integer Derivation through Recursivity, a Property Common to these two Concepts: A Fundamental Idea from a new Process Control Strategy," In: Proc. of 12th IMACS World Con., Paris, vol 3, pp. 203-208, 1988.
    • (1988) Proc. of 12th IMACS World Con., Paris , vol.3 , pp. 203-208
    • Oustaloup, A.1
  • 4
    • 0010071833 scopus 로고
    • The Non-Integer Integral and its Application to Control Systems
    • S. Manabe, "The Non-Integer Integral and its Application to Control Systems," ETJ of Japan, 6(3-4):83-87,1961.
    • (1961) ETJ of Japan , vol.6 , Issue.3-4 , pp. 83-87
    • Manabe, S.1
  • 8
    • 0003797958 scopus 로고    scopus 로고
    • Academic Press, San Diego, California 92101-4495, USA
    • I. Podlubny, "Fractional Differential Equations," Academic Press, San Diego, California 92101-4495, USA, 340 pp., 1999.
    • (1999) Fractional Differential Equations , pp. 340
    • Podlubny, I.1
  • 9
    • 67650624466 scopus 로고    scopus 로고
    • Fractional-order feedback control of a DC motor
    • I. Petráš, "Fractional-order feedback control of a DC motor", Journal of Electrical Engineering. vol. 60, no. 3, pp. 117-128, 2009.
    • (2009) Journal of Electrical Engineering , vol.60 , Issue.3 , pp. 117-128
    • Petráš, I.1
  • 11
    • 84890758565 scopus 로고    scopus 로고
    • Riadenie procesu splyňovania uhlia s využitím PLC automatu
    • 11 ISSN 1210-9592, str. 46-49
    • J. Kačur, M. Laciak, "Riadenie procesu splyňovania uhlia s využitím PLC automatu," Automa 11/2010, ISSN 1210-9592, str. 46-49.
    • (2010) Automa
    • Kačur, J.1    Laciak, M.2
  • 12
    • 70549092141 scopus 로고    scopus 로고
    • Research of the possibility of application of vector quantisation method for effective process control of rocks sisintegration by rotary drilling
    • ISSN 0543-5846
    • I. Leššo, P. Flegner, M. Šujanský, E. Špak, "Research of the possibility of application of vector quantisation method for effective process control of rocks sisintegration by rotary drilling", In: Metalurgija. vol. 49, no. 1, ISSN 0543-5846, p. 61-65, 2010.
    • (2010) Metalurgija , vol.49 , Issue.1 , pp. 61-65
    • Leššo, I.1    Flegner, P.2    Šujanský, M.3    Špak, E.4
  • 14
    • 0001611264 scopus 로고    scopus 로고
    • Some approximations of fractional order operators used in control theory and applications
    • B.M. Vinagre, I. Podlubny, A. Hernandez, V. Feliu, "Some approximations of fractional order operators used in control theory and applications," Fractional Calculus & Applied Analysis, vol. 3, no. 3, pp. 945-950, 2000.
    • (2000) Fractional Calculus & Applied Analysis , vol.3 , Issue.3 , pp. 945-950
    • Vinagre, B.M.1    Podlubny, I.2    Hernandez, A.3    Feliu, V.4
  • 16
    • 56349163740 scopus 로고    scopus 로고
    • Comparison of the Methods for Discrete Approximation of the Fractional-Order Operator
    • Košice, Ročník ISSN 1335-1788, str. 236-239
    • L'. Dorčák, I. Petráš, J. Terpák, M. Zborovjan, "Comparison of the Methods for Discrete Approximation of the Fractional-Order Operator," Acta Montanistica Slovaca, Košice, Ročník 8, 4/2003, ISSN 1335-1788, str. 236-239.
    • (2003) Acta Montanistica Slovaca , vol.8 , Issue.4
    • Dorčák, L.1    Petráš, I.2    Terpák, J.3    Zborovjan, M.4
  • 21
    • 78049345257 scopus 로고    scopus 로고
    • Mittag-Leffler Function
    • File ID: #8738 17 Oct. Available at
    • I. Podlubny, M. Kacenak, "Mittag-Leffler Function," Matlab Central File Exchange, File ID: #8738 (17 Oct. 2005). Available at http://www.mathworks.com/matlabcentral/fileexchange/8738
    • (2005) Matlab Central File Exchange
    • Podlubny, I.1    Kacenak, M.2
  • 22
    • 79961183655 scopus 로고    scopus 로고
    • A new general FIR digital fractional order differentiator/integrator based on power series expansion of the backward difference (Euler) rule
    • I. Petráš, "A new general FIR digital fractional order differentiator/integrator based on power series expansion of the backward difference (Euler) rule," Matlab Central File Exchange, http://www.mathworks.com/matlabcentral/fx-files/3673/1/dfod2.m
    • Matlab Central File Exchange
    • Petráš, I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.