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Volumn 6 B, Issue , 2005, Pages 1485-1493

Numerical scheme for the solution of Fractional Differential Equations of order greater than 1

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; FUNCTIONS; INTEGRAL EQUATIONS; NUMERICAL ANALYSIS; POLYNOMIALS;

EID: 33244494442     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2005-84493     Document Type: Conference Paper
Times cited : (2)

References (15)
  • 1
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • Diethelm, K., Ford, N. J., and Freed, A. D., 2002. "A predictor-corrector approach for the numerical solution of fractional differential equations". Nonlinear Dynamics, 29 (1), pp. 3-22.
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 3
    • 77955731320 scopus 로고    scopus 로고
    • A cubic scheme for numerical solution of fractional differential equations
    • Eindhoven University of Technology, Submitted for review
    • Kumar, P., and Agrawal, O. P., 2005. "A cubic scheme for numerical solution of fractional differential equations". In Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005), Eindhoven University of Technology, Submitted for review.
    • (2005) Proceedings of the Fifth EUROMECH Nonlinear Dynamics Conference (ENOC-2005)
    • Kumar, P.1    Agrawal, O.P.2
  • 5
    • 0037113861 scopus 로고    scopus 로고
    • The numerical solution of linear multi-term fractional differential equations: Systems of equations
    • Edwards, J. T., Ford, N. J., and Simpson, C. A., 2002. "The numerical solution of linear multi-term fractional differential equations: Systems of equations". Journal of Computational and Applied Mathematics, 148 (2), pp. 401-418.
    • (2002) Journal of Computational and Applied Mathematics , vol.148 , Issue.2 , pp. 401-418
    • Edwards, J.T.1    Ford, N.J.2    Simpson, C.A.3
  • 7
    • 3042709180 scopus 로고    scopus 로고
    • Multi-order fractional differential equations and their numerical solution
    • Diethelm, K., and Ford, N. J., 2004. "Multi-order fractional differential equations and their numerical solution". Applied Mathematics and Computation, 154 (3), pp. 621-640.
    • (2004) Applied Mathematics and Computation , vol.154 , Issue.3 , pp. 621-640
    • Diethelm, K.1    Ford, N.J.2
  • 8
  • 11
    • 0040891781 scopus 로고
    • Smoothness of solutions of volterra equations with weakly sigular kernels
    • May
    • Miller, R. K., and Fedstein, A., 1971. "Smoothness of solutions of volterra equations with weakly sigular kernels". SIAM J. Math. Anal., 2 (2) May , pp. 242-258.
    • (1971) SIAM J. Math. Anal. , vol.2 , Issue.2 , pp. 242-258
    • Miller, R.K.1    Fedstein, A.2
  • 12
    • 84962571892 scopus 로고
    • Rungetta-kutta theory for volterra and abel integral equations of the second kind
    • Lubich, C., 1983. "Rungetta-kutta theory for volterra and abel integral equations of the second kind". Math. Comp., 41, pp. 87-102.
    • (1983) Math. Comp. , vol.41 , pp. 87-102
    • Lubich, C.1
  • 14
    • 0002935511 scopus 로고    scopus 로고
    • An introduction to fractional calculus
    • R. Hilfer, Ed., World Scientific, New Jersey, Chapter 1
    • Butzer, P. L., and Westphal, U., 2000. "An introduction to fractional calculus". In Applications of Fractional Calculus in physics, R. Hilfer, Ed., vol. 1. World Scientific, New Jersey, Chapter 1, pp. 1-85.
    • (2000) Applications of Fractional Calculus in Physics , vol.1 , pp. 1-85
    • Butzer, P.L.1    Westphal, U.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.