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Volumn 2011, Issue , 2011, Pages

Fractional-order variational calculus with generalized boundary conditions

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EID: 79251567943     PISSN: 16871839     EISSN: 16871847     Source Type: Journal    
DOI: 10.1155/2011/357580     Document Type: Article
Times cited : (14)

References (21)
  • 6
    • 4444254886 scopus 로고    scopus 로고
    • Fractional calculus in bioengineering, part 2
    • Magin R. L., Fractional calculus in bioengineering, part 2 Critical Reviews in Biomedical Engineering 2004 32 2 105 193
    • (2004) Critical Reviews in Biomedical Engineering , vol.32 , Issue.2 , pp. 105-193
    • Magin, R.L.1
  • 7
    • 11144305217 scopus 로고    scopus 로고
    • Fractional calculus in bioengineering, part3
    • Magin R. L., Fractional calculus in bioengineering, part3 Critical Reviews in Biomedical Engineering 2004 32 3-4 195 377
    • (2004) Critical Reviews in Biomedical Engineering , vol.32 , Issue.34 , pp. 195-377
    • Magin, R.L.1
  • 10
    • 46249125645 scopus 로고    scopus 로고
    • Fractional conservation laws in optimal control theory
    • Frederico G. S. F., Torres D. F. M., Fractional conservation laws in optimal control theory Nonlinear Dynamics 2008 53 3 215 222
    • (2008) Nonlinear Dynamics , vol.53 , Issue.3 , pp. 215-222
    • Frederico, G.S.F.1    Torres, D.F.M.2
  • 11
    • 10844270442 scopus 로고    scopus 로고
    • Application of fractional calculus to fluid mechanics
    • Kulish V. V., Lage J. L., Application of fractional calculus to fluid mechanics Journal of Fluids Engineering 2002 124 3 803 806
    • (2002) Journal of Fluids Engineering , vol.124 , Issue.3 , pp. 803-806
    • Kulish, V.V.1    Lage, J.L.2
  • 12
    • 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 Journal of Mathematical Analysis and Applications 2002 272 1 368 379
    • (2002) Journal of Mathematical Analysis and Applications , vol.272 , Issue.1 , pp. 368-379
    • Agrawal, O.P.1
  • 13
    • 33746876366 scopus 로고    scopus 로고
    • Fractional variational calculus and the transversality conditions
    • Agrawal O. P., Fractional variational calculus and the transversality conditions Journal of Physics A 2006 39 33 10375 10384
    • (2006) Journal of Physics A , vol.39 , Issue.33 , pp. 10375-10384
    • Agrawal, O.P.1
  • 14
    • 34748879376 scopus 로고    scopus 로고
    • Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative
    • Agrawal O. P., Generalized Euler-Lagrange equations and transversality conditions for FVPs in terms of the Caputo derivative Journal of Vibration and Control 2007 13 9-10 1217 1237
    • (2007) Journal of Vibration and Control , vol.13 , Issue.910 , pp. 1217-1237
    • Agrawal, O.P.1
  • 15
    • 77950867099 scopus 로고    scopus 로고
    • A fractional calculus of variations for multiple integrals with application to vibrating string
    • Almeida R., Malinowska A. B., Torres D. F. M., A fractional calculus of variations for multiple integrals with application to vibrating string Journal of Mathematical Physics 2010 51 3
    • (2010) Journal of Mathematical Physics , vol.51 , Issue.3
    • Almeida, R.1    Malinowska, A.B.2    Torres, D.F.M.3
  • 16
    • 33845669957 scopus 로고    scopus 로고
    • Fractional Hamilton formalism within Caputo's derivative
    • Baleanu D., Agrawal O. P., Fractional Hamilton formalism within Caputo's derivative Czechoslovak Journal of Physics 2006 56 10-11 1087 1092
    • (2006) Czechoslovak Journal of Physics , vol.56 , Issue.1011 , pp. 1087-1092
    • Baleanu, D.1    Agrawal, O.P.2
  • 17
    • 44649172155 scopus 로고    scopus 로고
    • On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
    • Baleanu D., Muslih S. I., Rabei E. M., On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative Nonlinear Dynamics 2008 53 1-2 67 74
    • (2008) Nonlinear Dynamics , vol.53 , Issue.12 , pp. 67-74
    • Baleanu, D.1    Muslih, S.I.2    Rabei, E.M.3
  • 18
    • 70349224466 scopus 로고    scopus 로고
    • Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations
    • Herzallah M. A. E., Baleanu D., Fractional-order Euler-Lagrange equations and formulation of Hamiltonian equations Nonlinear Dynamics 2009 58 1-2 385 391
    • (2009) Nonlinear Dynamics , vol.58 , Issue.12 , pp. 385-391
    • Herzallah, M.A.E.1    Baleanu, D.2
  • 19
    • 77950866104 scopus 로고    scopus 로고
    • Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
    • Malinowska A. B., Torres D. F. M., Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative Computers Mathematics with Applications 2010 59 9 3110 3116
    • (2010) Computers Mathematics with Applications , vol.59 , Issue.9 , pp. 3110-3116
    • Malinowska, A.B.1    Torres, D.F.M.2
  • 20
    • 34748827947 scopus 로고    scopus 로고
    • Fractional Euler-Lagrange equations of motion in fractional space
    • Muslih S. I., Baleanu D., Fractional Euler-Lagrange equations of motion in fractional space Journal of Vibration and Control 2007 13 9-10 1209 1216
    • (2007) Journal of Vibration and Control , vol.13 , Issue.910 , pp. 1209-1216
    • Muslih, S.I.1    Baleanu, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.