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Volumn , Issue , 2009, Pages 1-12

Discrete fractional calculus with the nabla operator

Author keywords

Discrete fractional calculus

Indexed keywords


EID: 85085399420     PISSN: None     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2009.4.3     Document Type: Article
Times cited : (418)

References (19)
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    • 74149083825 scopus 로고    scopus 로고
    • Initial value problems in discrete fractional calculus
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    • (2009) Proc. Amer. Math. Soc , vol.137 , pp. 981-989
    • Atici, F.M.1    Eloe, P.W.2
  • 6
    • 84869784728 scopus 로고    scopus 로고
    • Advances in Dynamic Equations on Time Scales, Birkḧauser
    • M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkḧauser, Boston, 2003.
    • (2003) Boston
    • Bohner, M.1    Peterson, A.2
  • 8
    • 84968503394 scopus 로고
    • Differences of fractional order
    • J. B. Diaz and T. J. Osler, Differences of fractional order, Math. Comp. 28 (1974), 185-201.
    • (1974) Math. Comp , vol.28 , pp. 185-201
    • Diaz, J.B.1    Osler, T.J.2
  • 10
    • 84986792205 scopus 로고
    • An introduction to long-memory time series models and fractional differences
    • C. W. J. Granger and R. Joyeux, An introduction to long-memory time series models and fractional differences, J. Time Ser. Anal. 1 (1980), 15-29.
    • (1980) J. Time Ser. Anal , vol.1 , pp. 15-29
    • Granger, C.W.J.1    Joyeux, R.2
  • 11
    • 84966257482 scopus 로고
    • On a new definition of the fractional difference
    • H. L. Gray and N. F. Zhang, On a new definition of the fractional difference, Mathematics of Computation 50 (182) (1988), 513-529.
    • (1988) Mathematics of Computation , vol.50 , Issue.182 , pp. 513-529
    • Gray, H.L.1    Zhang, N.F.2
  • 12
    • 77956890381 scopus 로고
    • Fractional differencing
    • J. R. M. Hosking, Fractional differencing, Biometrika 68 (1981), 165-176.
    • (1981) Biometrika , vol.68 , pp. 165-176
    • Hosking, J.R.M.1
  • 13
    • 84966244908 scopus 로고
    • Exponential laws for fractional differences
    • G. L. Isaacs, Exponential laws for fractional differences, Math. Comp. 35 (1980), 933-936.
    • (1980) Math. Comp , vol.35 , pp. 933-936
    • Isaacs, G.L.1
  • 15
    • 77949837723 scopus 로고
    • Fractional difference calculus, Proceedings of the International Symposium on Univalent Functions
    • Nihon University, Koriyama, Japan, May, Ellis Horwood Ser. Math. Appl., Horwood, Chichester, 1989
    • K. S. Miller and B. Ross, Fractional difference calculus, Proceedings of the International Symposium on Univalent Functions, Fractional Calculus and Their Applications, Nihon University, Koriyama, Japan, May (1988), 139-152; Ellis Horwood Ser. Math. Appl., Horwood, Chichester, 1989.
    • (1988) Fractional Calculus and Their Applications , pp. 139-152
    • Miller, K.S.1    Ross, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.