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Volumn 178, Issue 2, 2006, Pages 527-533

Approximations of fractional integrals and Caputo fractional derivatives

Author keywords

Caputo fractional derivative; Caputo fractional derivative rule; Fractional integral; Modified trapezoidal rule

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ERROR ANALYSIS; FUNCTION EVALUATION; INTEGRATION; NUMERICAL METHODS;

EID: 33746208811     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.11.072     Document Type: Article
Times cited : (169)

References (12)
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    • Numerical solution of ordinary fractional differential equations by the fractional difference method
    • Elaydi S., Gyori I., and Ladas G. (Eds), Gordon and Breach Sci. Publ., Amsterdam
    • Podlubny I. Numerical solution of ordinary fractional differential equations by the fractional difference method. In: Elaydi S., Gyori I., and Ladas G. (Eds). Advances in Difference Equations (1997), Gordon and Breach Sci. Publ., Amsterdam 507-516
    • (1997) Advances in Difference Equations , pp. 507-516
    • Podlubny, I.1
  • 5
    • 0001618393 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractional order
    • Diethelm K. An algorithm for the numerical solution of differential equations of fractional order. Elec. Trans. Numer. Anal. 5 (1997) 1-6
    • (1997) Elec. Trans. Numer. Anal. , vol.5 , pp. 1-6
    • Diethelm, K.1
  • 6
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • Diethelm K., and Ford N. Analysis of fractional differential equations. J. Math. Anal. Appl. 265 (2002) 229-248
    • (2002) J. Math. Anal. Appl. , vol.265 , pp. 229-248
    • Diethelm, K.1    Ford, N.2
  • 7
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • Diethelm K., Ford N., and Freed A. A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dyn. 29 (2002) 3-22
    • (2002) Nonlinear Dyn. , vol.29 , pp. 3-22
    • Diethelm, K.1    Ford, N.2    Freed, A.3
  • 8
    • 4043121080 scopus 로고    scopus 로고
    • Detailed error analysis for a fractional Adams method
    • Diethelm K., Ford N., and Freed A. Detailed error analysis for a fractional Adams method. Numer. Algorithms 36 (2004) 31-52
    • (2004) Numer. Algorithms , vol.36 , pp. 31-52
    • Diethelm, K.1    Ford, N.2    Freed, A.3
  • 10
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus: integral and differential equations of fractional order
    • Carpinteri and Mainardi, New York
    • Gorenflo R., and Mainardi F. Fractional calculus: integral and differential equations of fractional order. Fractals and Fractional Calculus (1997), Carpinteri and Mainardi, New York
    • (1997) Fractals and Fractional Calculus
    • Gorenflo, R.1    Mainardi, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.