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Volumn 344, Issue 2, 2008, Pages 799-805

Hamilton-Jacobi fractional mechanics

Author keywords

Fractional derivative; Fractional systems; Hamilton Jacobi treatment; Hamiltonian formalisms

Indexed keywords


EID: 43449130374     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.03.011     Document Type: Article
Times cited : (28)

References (16)
  • 1
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of Euler-Lagrange equations for fractional variational problems
    • Agrawal O.P. Formulation of Euler-Lagrange equations for fractional variational problems. J. Math. Anal. Appl. 272 (2002) 368-379
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 368-379
    • Agrawal, O.P.1
  • 2
    • 23344444772 scopus 로고    scopus 로고
    • Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives
    • Baleanu D., and Muslih S.I. Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Phys. Scripta 72 (2005) 105-107
    • (2005) Phys. Scripta , vol.72 , pp. 105-107
    • Baleanu, D.1    Muslih, S.I.2
  • 5
    • 0036027310 scopus 로고    scopus 로고
    • Lagrangian and Hamiltonian fractional sequential mechanics
    • Klimek M. Lagrangian and Hamiltonian fractional sequential mechanics. Czechoslovak J. Phys. 52 (2002) 1247-1253
    • (2002) Czechoslovak J. Phys. , vol.52 , pp. 1247-1253
    • Klimek, M.1
  • 6
    • 0035737230 scopus 로고    scopus 로고
    • Fractional sequential mechanics-models with symmetric fractional derivative
    • Klimek M. Fractional sequential mechanics-models with symmetric fractional derivative. Czechoslovak J. Phys. 51 (2001) 1348-1354
    • (2001) Czechoslovak J. Phys. , vol.51 , pp. 1348-1354
    • Klimek, M.1
  • 8
    • 0242354999 scopus 로고    scopus 로고
    • Fractional Differential Equations
    • Podlubny I. Fractional Differential Equations. Fract. Calc. Appl. Anal. 5 (2002) 367
    • (2002) Fract. Calc. Appl. Anal. , vol.5 , pp. 367
    • Podlubny, I.1
  • 9
    • 33745486529 scopus 로고    scopus 로고
    • Quantization of non-conservative systems using fractional calculus
    • Rabei E.M., Ajlouni A.-W., and Ghassib H.B. Quantization of non-conservative systems using fractional calculus. WSEAS Trans. Math. 5 (2006) 853-863
    • (2006) WSEAS Trans. Math. , vol.5 , pp. 853-863
    • Rabei, E.M.1    Ajlouni, A.-W.2    Ghassib, H.B.3
  • 11
    • 13844255812 scopus 로고    scopus 로고
    • Potentials of arbitrary forces with fractional derivatives
    • Rabei E.M., Al-halholy T., and Rousan A. Potentials of arbitrary forces with fractional derivatives. Internat. J. Modern Phys. A 19 (2004) 3083-3092
    • (2004) Internat. J. Modern Phys. A , vol.19 , pp. 3083-3092
    • Rabei, E.M.1    Al-halholy, T.2    Rousan, A.3
  • 13
    • 0000735791 scopus 로고    scopus 로고
    • Nonconservative Lagrangian and Hamiltonian mechanics
    • Riewe F. Nonconservative Lagrangian and Hamiltonian mechanics. Phys. Rev. E 53 (1996) 1890-1899
    • (1996) Phys. Rev. E , vol.53 , pp. 1890-1899
    • Riewe, F.1
  • 14
    • 4243530410 scopus 로고    scopus 로고
    • Mechanics with fractional derivatives
    • Riewe F. Mechanics with fractional derivatives. Phys. Rev. E 55 (1997) 3581-3592
    • (1997) Phys. Rev. E , vol.55 , pp. 3581-3592
    • Riewe, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.