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Volumn 49, Issue 4, 2010, Pages 701-708

Is it possible to derive Newtonian equations of motion with memory?

Author keywords

Fractional calculus; Newtonian equation; Riemann Liouville fractional integral

Indexed keywords


EID: 77951983849     PISSN: 00207748     EISSN: 15729575     Source Type: Journal    
DOI: 10.1007/s10773-010-0249-x     Document Type: Article
Times cited : (34)

References (20)
  • 8
    • 24344479975 scopus 로고    scopus 로고
    • Is there a geometrical/physical meaning of the fractional integral with complex exponent?
    • Nigmatullin, R. R., Le Mehaute, A.: Is there a geometrical/physical meaning of the fractional integral with complex exponent? J. Non-Cryst. Sol. 351, 2888 (2005).
    • (2005) J. Non-Cryst. Sol. , vol.351 , pp. 2888
    • Nigmatullin, R.R.1    Le Mehaute, A.2
  • 16
    • 77951991366 scopus 로고    scopus 로고
    • Dielectric relaxation based on the fractional kinetics: Theory and its experimental confirmation
    • 014001
    • Nigmatullin, R. R.: Dielectric relaxation based on the fractional kinetics: theory and its experimental confirmation. Phys. Scr. 136, 014001 (2009).
    • (2009) Phys. Scr. , vol.136
    • Nigmatullin, R.R.1
  • 17
    • 59649112089 scopus 로고    scopus 로고
    • Detection of collective motions in dielectric spectra and the meaning of the generalized Vogel-Fulcher-Tamman equation
    • Nigmatullin, R. R.: Detection of collective motions in dielectric spectra and the meaning of the generalized Vogel-Fulcher-Tamman equation. Phys. B: Condens. Matter 404, 255-269 (2009).
    • (2009) Phys. B: Condens. Matter , vol.404 , pp. 255-269
    • Nigmatullin, R.R.1
  • 18
    • 33751220233 scopus 로고    scopus 로고
    • The first experimental confirmation of the fractional kinetics containing the complex power-law exponents: Dielectric measurements of polymerization reaction
    • Nigmatullin, R. R., Arbuzov, A. A., Salehli, F., Gis, A., Bayrak, I., Catalgil-Giz, H.: The first experimental confirmation of the fractional kinetics containing the complex power-law exponents: dielectric measurements of polymerization reaction. Phys. B: Phys. Condens. Matter 388, 418-434 (2007).
    • (2007) Phys. B: Phys. Condens. Matter , vol.388 , pp. 418-434
    • Nigmatullin, R.R.1    Arbuzov, A.A.2    Salehli, F.3    Gis, A.4    Bayrak, I.5    Catalgil-Giz, H.6
  • 20
    • 0041540652 scopus 로고    scopus 로고
    • Fractional integral associated to the self-similar set or the generalized self-similar set and its physical interpretation
    • Ren, F.-Y., Yu, Z.-G., Su, F.: Fractional integral associated to the self-similar set or the generalized self-similar set and its physical interpretation. Phys. Lett. A 219, 59 (1996).
    • (1996) Phys. Lett. A , vol.219 , pp. 59
    • Ren, F.-Y.1    Yu, Z.-G.2    Su, F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.