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Volumn 1, Issue 2, 2012, Pages 113-124

On the usefulness of Riemann-Liouville and Caputo derivatives in describing fractional shift-invariant linear systems

Author keywords

Fractional derivative; Fractional linear system; Initial value problem

Indexed keywords


EID: 84979630551     PISSN: 21646457     EISSN: 21646473     Source Type: Journal    
DOI: 10.5890/JAND.2012.05.001     Document Type: Article
Times cited : (15)

References (20)
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  • 3
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    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • Heymans, N. and Podlubny, I. (2005), Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives, Rheol Acta, 37, 1-7
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    • Heymans, N.1    Podlubny, I.2
  • 4
    • 70350593025 scopus 로고    scopus 로고
    • Horwood Series in Mathematics & Applications, Chichester, England
    • Hoskins, R.F. (1999), Delta Functions, Horwood Series in Mathematics & Applications, Chichester, England
    • (1999) Delta Functions
    • Hoskins, R.F.1
  • 7
    • 0142010055 scopus 로고    scopus 로고
    • On the initial conditions in continuous-time fractional linear systems
    • Ortigueira, M.D. (2003), On the initial conditions in continuous-time fractional linear systems, Signal Processing, 83(11), 2301-2309
    • (2003) Signal Processing , vol.83 , Issue.11 , pp. 2301-2309
    • Ortigueira, M.D.1
  • 11
    • 52349114814 scopus 로고    scopus 로고
    • Fractional Central Differences and Derivatives
    • Ortigueira, M.D. (2008), Fractional Central Differences and Derivatives, Journal of Vibration and Control, 14(9-10), 1255-1266
    • (2008) Journal of Vibration and Control , vol.14 , Issue.9-10 , pp. 1255-1266
    • Ortigueira, M.D.1
  • 12
    • 51449107734 scopus 로고    scopus 로고
    • An Introduction to the Fractional Continuous-Time Linear Systems
    • third quarter
    • Ortigueira, M. D. (2008), An Introduction to the Fractional Continuous-Time Linear Systems, IEEE Circuits and Systems Magazine, third quarter, 19-26
    • (2008) IEEE Circuits and Systems Magazine , pp. 19-26
    • Ortigueira, M.D.1
  • 15
    • 70350620552 scopus 로고    scopus 로고
    • The Fractional Quantum Derivative and its integral representations
    • Ortigueira, M.D. (2010), The Fractional Quantum Derivative and its integral representations, Commun Nonlinear Sci Numer Simulat, 15, 956-962
    • (2010) Commun Nonlinear Sci Numer Simulat , vol.15 , pp. 956-962
    • Ortigueira, M.D.1
  • 16
    • 78649281414 scopus 로고    scopus 로고
    • On the Fractional Linear Scale Invariant Systems
    • Ortigueira, M.D. (2010), On the Fractional Linear Scale Invariant Systems, IEEE Trans. On Signal Processing, 58 (12)
    • (2010) IEEE Trans. On Signal Processing , vol.58 , Issue.12
    • Ortigueira, M.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.