메뉴 건너뛰기




Volumn 76, Issue 5, 2012, Pages 647-659

Error analysis, stability, and numerical solutions of fractional-order differential equations

Author keywords

Differential equations fractional order; Spline functions

Indexed keywords


EID: 84861035036     PISSN: 13118080     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (14)
  • 1
    • 34247477202 scopus 로고    scopus 로고
    • On fractional order differential equations model for nonlocal epidemics
    • DOI 10.1016/j.physa.2007.01.010, PII S0378437107000623
    • E. Ahmed, A. S. Elgazzar, On fractional order differential equations model for nonlocal epidemics, Physica A, Vol. 379, pp. 607-614, 2007. (Pubitemid 46654665)
    • (2007) Physica A: Statistical Mechanics and its Applications , vol.379 , Issue.2 , pp. 607-614
    • Ahmed, E.1    Elgazzar, A.S.2
  • 2
    • 33750295344 scopus 로고    scopus 로고
    • Equilibrium point, stability, and numerical solutions of fractional-order predator-prey and rabies models
    • E. Ahmed, A. M. A. El-Sayed, H. A. A. Elsaka,Equilibrium point, stability, and numerical solutions of fractional-order predator-prey and rabies models, Jour. Math. Anal. Appl., Voll.325, pp. 542, 2007.
    • (2007) Jour. Math. Anal. Appl. , vol.325 , pp. 542
    • Ahmed, E.1    El-Sayed, A.M.A.2    Elsaka, H.A.A.3
  • 3
    • 84859008182 scopus 로고    scopus 로고
    • Joakim Munkhammar,Riemann-Liouville fractional derivatives and the Taylor-Riemann series
    • Uppsala University U. U. D. M. Project Report
    • Joakim Munkhammar,Riemann-Liouville fractional derivatives and the Taylor-Riemann series, Department of Math. Uppsala University U. U. D. M. Project Report 2004:7.
    • (2004) Department of Math , pp. 7
  • 5
    • 0001618393 scopus 로고    scopus 로고
    • An algorithm for the numerical solution of differential equations of fractions order
    • Kia Dithelm, An algorithm for the numerical solution of differential equations of fractions order, Electr. Trans. Numer. Anal. 5, pp. 1-6, 1997.
    • (1997) Electr. Trans. Numer. Anal. , vol.5 , pp. 1-6
    • Dithelm, K.1
  • 6
    • 0010186169 scopus 로고    scopus 로고
    • The FracPECE subroutine for the numerical solution of differential equations of fractions order
    • S. Heinzel, T. Plesser (Eds.) GWDG-Bericht, Gesellschaftfur wiessenschaftliches Datenverabeitung, Gottingen
    • Kea Dithelm, A. D. Freed, The FracPECE subroutine for the numerical solution of differential equations of fractions order, In: S. Heinzel, T. Plesser (Eds.), Forschung und wiessenschaftliches Rechnen 1998, no. 52 in GWDG-Bericht, Gesellschaftfur wiessenschaftliches Datenverabeitung, Gottingen, pp. 57-71, 1999.
    • (1998) Forschung und Wiessenschaftliches Rechnen , vol.52 , pp. 57-71
    • Dithelm, K.1    Freed, A.D.2
  • 8
    • 0043044718 scopus 로고    scopus 로고
    • Numerical solution of fractional order differential equations by extrapolation
    • Kia Dithelm, G. Walz, Numerical solution of fractions order differential equations by extrapolation, Numer. Algorithms 16, pp. 231-253, 1997. (Pubitemid 127429647)
    • (1997) Numerical Algorithms , vol.16 , Issue.3-4 , pp. 231-253
    • Diethelm, K.1    Walz, G.2
  • 9
    • 26444438049 scopus 로고    scopus 로고
    • Marc Weilbeer, Pitfalls in fast numerical solvers for fractions differential equations
    • Kia Dithelm, Judith M. Ford, Neville J. Ford, Marc Weilbeer, Pitfalls in fast numerical solvers for fractions differential equations, Journal of Comput. And Applied Math. 186, pp. 482-503, 2006.
    • (2006) Journal of Comput. and Applied Math. , vol.186 , pp. 482-503
    • Dithelm, K.1    Judith Ford, M.2    Neville Ford, J.3
  • 10
    • 0003046437 scopus 로고
    • An introduction to the application of spline function to initial value problems
    • T. N.E. Greville, ed. Academic Press, New York
    • Loscalzo, F. R.,An introduction to the application of spline function to initial value problems. In theory and applications of spline functions, T. N.E. Greville, ed. Academic Press, New York, 37 64, 1969.
    • (1969) Theory and Applications of Spline Functions , vol.37 , pp. 64
    • Loscalzo, F.R.1
  • 11
    • 85081843367 scopus 로고    scopus 로고
    • Spline function approximations for solutions of ordinary differential equations
    • Whele No
    • Loscalzo F.R. and Tabot,T. D.,Spline function approximations for solutions of ordinary differential equations, Bulletin of the American Math.Soc.Vol.73, Whele No.
    • Bulletin of the American Math.Soc. , vol.73
    • Loscalzo, F.R.1    Tabot, T.D.2
  • 13
    • 35349007940 scopus 로고    scopus 로고
    • Numerical studies for a multi-order fractional differential equation
    • N. M. Sweilam, M. M. Khader, R. F. Al-Bar, Numerical studies for a multi-order fractional differential equation, Physics Letters A371,pp. 26-33,2007.
    • (2007) Physics Letters A , vol.371 , pp. 26-33
    • Sweilam, N.M.1    Khader, M.M.2    Al-Bar, R.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.