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Volumn 86, Issue 10, 2006, Pages 2505-2515

A coherent approach to non-integer order derivatives

Author keywords

Differintegrator; Fractional derivative; Fractional difference; Fractional linear system

Indexed keywords

FUNCTIONS; INTEGER PROGRAMMING; LAPLACE TRANSFORMS; LINEAR SYSTEMS; NUMERICAL METHODS; SIGNAL PROCESSING;

EID: 33745968378     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.sigpro.2006.02.002     Document Type: Article
Times cited : (83)

References (18)
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    • Campos, L.M.C.1
  • 2
    • 0006544366 scopus 로고
    • Fractional calculus of analytic and branched functions
    • Kalia R.N. (Ed), Global Publishing Company
    • Campos L.M.C. Fractional calculus of analytic and branched functions. In: Kalia R.N. (Ed). Recent Advances in Fractional Calculus (1993), Global Publishing Company
    • (1993) Recent Advances in Fractional Calculus
    • Campos, L.M.C.1
  • 5
    • 33745943721 scopus 로고    scopus 로고
    • M.D. Ortigueira, From differences to differintegrations, Fractional Calculus Appl. Anal., in preparation.
  • 6
    • 33745950014 scopus 로고    scopus 로고
    • M.D. Ortigueira, Two new integral formulae for the Beta function, Int. J. Appl. Math., in preparation.
  • 7
    • 0033872505 scopus 로고    scopus 로고
    • Introduction to Fractional Signal Processing. Part 1: Continuous-Time Systems
    • Ortigueira M.D. Introduction to Fractional Signal Processing. Part 1: Continuous-Time Systems. IEE Proc. Vision Image Signal Process. 1 (2000) 62-70
    • (2000) IEE Proc. Vision Image Signal Process. , vol.1 , pp. 62-70
    • Ortigueira, M.D.1
  • 8
    • 0142010055 scopus 로고    scopus 로고
    • On the initial conditions in continuous-time fractional linear systems
    • Ortigueira M.D. On the initial conditions in continuous-time fractional linear systems. Signal Process. 83 11 (November 2003) 2301-2309
    • (2003) Signal Process. , vol.83 , Issue.11 , pp. 2301-2309
    • Ortigueira, M.D.1
  • 10
    • 33745932591 scopus 로고    scopus 로고
    • S. Dugowson, Les différentielles métaphysiques, Ph.D. Thesis, Université Paris Nord, 1994.
  • 11
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    • Differences of Fractional Order
    • Diaz J.B., and Osler T.J. Differences of Fractional Order. Math. Comput. 28 125 (January 1974)
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  • 12
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    • Fractional differences integral representation and its use to define fractional differintegrations
    • Eindhoven University of Technology, The Netherlands
    • Ortigueira M.D. Fractional differences integral representation and its use to define fractional differintegrations. Proceedings of the ENOC-2005, Fifth EUROMECH Nonlinear Dynamics Conference. Eindhoven University of Technology, The Netherlands (7-12 August 2005)
    • (2005) Proceedings of the ENOC-2005, Fifth EUROMECH Nonlinear Dynamics Conference
    • Ortigueira, M.D.1
  • 18
    • 33745965394 scopus 로고    scopus 로고
    • M.A. Chaudhry, S.M. Zubair, On a Class of Incomplete Gamma Functions with Applications, Chapman & Hall, London, CRC, Boca Raton, FL, 2002.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.