메뉴 건너뛰기




Volumn , Issue , 2004, Pages 379-384

About fractional calculus of singular Lagrangians

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; CONSTRAINT THEORY; CONTROL EQUIPMENT; HAMILTONIANS; ORDINARY DIFFERENTIAL EQUATIONS;

EID: 20844431847     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/icccyb.2004.1437753     Document Type: Conference Paper
Times cited : (5)

References (35)
  • 1
    • 0004294349 scopus 로고
    • Lecture Notes in Physics, Springer-Verlag, New York
    • K. Sundermeyer, Constrained Dynamics, Lecture Notes in Physics, vol.169, Springer-Verlag, New York, 1982.
    • (1982) Constrained Dynamics , vol.169
    • Sundermeyer, K.1
  • 5
    • 0034147118 scopus 로고    scopus 로고
    • Geometry of the physical phase space in quantum gauge models
    • S. Shabanov, "Geometry of the physical phase space in quantum gauge models," Phys. Rep., vol. 326, no. 1, 2000, pp. 1-163.
    • (2000) Phys. Rep. , vol.326 , Issue.1 , pp. 1-163
    • Shabanov, S.1
  • 9
    • 21844508067 scopus 로고    scopus 로고
    • A geometrical setting for higher order Dirac-Bergmann theory of constraints
    • O. Krupkova, "A geometrical setting for higher order Dirac-Bergmann theory of constraints," J. Math. Phys. vol. 35, 1997, pp. 6557-6576.
    • (1997) J. Math. Phys. , vol.35 , pp. 6557-6576
    • Krupkova, O.1
  • 11
    • 0036687034 scopus 로고    scopus 로고
    • On nonlinear controllability and series expansions for Lagrangian systems with dissipative forces
    • J. Cortés, S. Martínez and F. Bullo, "On nonlinear controllability and series expansions for Lagrangian systems with dissipative forces," IEEE Transactions on Automatic Control, vol. 47, no.8, 2002, pp. 1396-1401.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.8 , pp. 1396-1401
    • Cortés, J.1    Martínez, S.2    Bullo, F.3
  • 12
    • 0030651602 scopus 로고    scopus 로고
    • Analysis and design of fractional-order digital control systems
    • J. Tenreiro Machado, "Analysis and Design of Fractional-Order Digital Control Systems," J. System Analysis, Modelling and Simulation, vol.27, 1997, pp.107-122.
    • (1997) J. System Analysis, Modelling and Simulation , vol.27 , pp. 107-122
    • Machado, J.T.1
  • 17
    • 0003427295 scopus 로고    scopus 로고
    • Word Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong
    • R. Hilfer (ed.), Applications of Fractional Calculus in Physics. Word Scientific Publishing Company, Singapore, New Jersey, London and Hong Kong: 2000.
    • (2000) Applications of Fractional Calculus in Physics
    • Hilfer, R.1
  • 18
    • 0035532262 scopus 로고    scopus 로고
    • Fractional differential forms
    • C. Shepherd and M. Naber, "Fractional Differential Forms" J. Math. Phys. vol. 42, no.5, 2001, pp. 2203-2212.
    • (2001) J. Math. Phys. , vol.42 , Issue.5 , pp. 2203-2212
    • Shepherd, C.1    Naber, M.2
  • 20
    • 0141930931 scopus 로고    scopus 로고
    • A new Lagrangian and a new Lagrange equation of motion for fractionally damped systems
    • O.P. Agrawal, "A new Lagrangian and a new Lagrange equation of motion for fractionally damped systems," J Appl. Mech-T Asme 68 (2), 2001, pp. 339-341.
    • (2001) J Appl. Mech-T Asme , vol.68 , Issue.2 , pp. 339-341
    • Agrawal, O.P.1
  • 21
    • 0141921521 scopus 로고    scopus 로고
    • The intrinsic damping of the fractional oscillator
    • A. Tofighi, "The intrinsic damping of the fractional oscillator," Phys. A, 329 (1-2), 2003, pp. 29-34.
    • (2003) Phys. A , vol.329 , Issue.1-2 , pp. 29-34
    • Tofighi, A.1
  • 22
    • 0036554885 scopus 로고    scopus 로고
    • A numerical scheme for dynamic systems containing fractional derivatives
    • L.X. Yuan and O.P. Agrawal, "A numerical scheme for dynamic systems containing fractional derivatives," Journ. Vib. Acoust, 124 (2), 2002, pp. 321-324.
    • (2002) Journ. Vib. Acoust , vol.124 , Issue.2 , pp. 321-324
    • Yuan, L.X.1    Agrawal, O.P.2
  • 23
    • 0000735791 scopus 로고    scopus 로고
    • Nonconservative Lagrangian and Hamiltonian mechanics
    • F. Riewe, "Nonconservative Lagrangian and Hamiltonian mechanics," Phys. Rev. E, vol. 53, 1996, pp. 1890-1889.
    • (1996) Phys. Rev. E , vol.53 , pp. 1890-11889
    • Riewe, F.1
  • 24
    • 4243530410 scopus 로고    scopus 로고
    • Mechanics with fractional derivatives
    • F. Riewe, "Mechanics with fractional derivatives," Phys. Rev. E, vol. 55, 1997, pp. 3582-3592.
    • (1997) Phys. Rev. E , vol.55 , pp. 3582-3592
    • Riewe, F.1
  • 25
    • 0142010055 scopus 로고    scopus 로고
    • On the initial conditions in continuous-time fractional linear systems
    • M. D. Ortigueira, "On the initial conditions in continuous-time fractional linear systems," Signal Processing, 83(11), 2003, pp. 2301-2309.
    • (2003) Signal Processing , vol.83 , Issue.11 , pp. 2301-2309
    • Ortigueira, M.D.1
  • 26
    • 0036701004 scopus 로고    scopus 로고
    • Formulation of Euler-Lagrange equations for fractional variational problems
    • O. Agrawal, "Formulation of Euler-Lagrange equations for fractional variational problems," J. Math. Anal. Appl. vol. 272, 2002, pp.368-379.
    • (2002) J. Math. Anal. Appl. , vol.272 , pp. 368-379
    • Agrawal, O.1
  • 27
    • 0141930931 scopus 로고    scopus 로고
    • Lagrangian and Lagrange equation of motion for fractionally damped systems
    • J. Appl. Mech.
    • O. Agrawal, "Lagrangian and Lagrange equation of motion for fractionally damped systems," Transactions of the ASME, J. Appl. Mech. vol. 68, no. 2, 2002, pp. 339-341.
    • (2002) Transactions of the ASME , vol.68 , Issue.2 , pp. 339-341
    • Agrawal, O.1
  • 28
    • 20844441008 scopus 로고    scopus 로고
    • Lagrangians with linear velocities within Riemann-Liouville fractional derivatives
    • math-ph/0405012, accepted for publication in
    • D. Baleanu and T. Avkar, "Lagrangians with linear velocities within Riemann-Liouville fractional derivatives," math-ph/0405012, accepted for publication in Nuovo Cimento B.
    • Nuovo Cimento B
    • Baleanu, D.1    Avkar, T.2
  • 29
    • 23044521075 scopus 로고    scopus 로고
    • A general treatment of singular Lagrangian with linear velocities
    • D. Baleanu and Y. Guler, "A general treatment of singular Lagrangian with linear velocities," Nuovo Cimento B, vol. 115, 2000, pp. 319-324.
    • (2000) Nuovo Cimento B , vol.115 , pp. 319-324
    • Baleanu, D.1    Guler, Y.2
  • 30
    • 0011499357 scopus 로고
    • Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation
    • J. F. Carinena, C. Lopez and N. Roman-Roy, "Origin of the Lagrangian constraints and their relation with the Hamiltonian formulation," J. Math. Phys. vol. 29, 1988, pp. 1143-1149.
    • (1988) J. Math. Phys. , vol.29 , pp. 1143-1149
    • Carinena, J.F.1    Lopez, C.2    Roman-Roy, N.3
  • 32
    • 0002591316 scopus 로고    scopus 로고
    • On the geometry of singular Lagragians
    • F. Pugliese, A.M Vinogradov, "On the geometry of singular Lagragians," J. Geom. Phys. 35 (1), 2000, pp. 35-55.
    • (2000) J. Geom. Phys. , vol.35 , Issue.1 , pp. 35-55
    • Pugliese, F.1    Vinogradov, A.M.2
  • 34
    • 0002765145 scopus 로고
    • A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
    • J. F. Carinena, J. Fernandez-Nunez and E. Martinez," A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics," Lett. Math. Phys. vol. 23, 1991, pp. 51-63.
    • (1991) Lett. Math. Phys. , vol.23 , pp. 51-63
    • Carinena, J.F.1    Fernandez-Nunez, J.2    Martinez, E.3
  • 35
    • 4243449996 scopus 로고
    • Determination of the Hamiltonian in the presence of constraints
    • R. Cayley, "Determination of the Hamiltonian in the presence of constraints," Phys. Rev. Lett. vol. 42, 1979, pp. 413-416.
    • (1979) Phys. Rev. Lett. , vol.42 , pp. 413-416
    • Cayley, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.