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Volumn 218, Issue 9, 2012, Pages 5239-5248

On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation

Author keywords

Bagley Torvik equation; Fractional differential equation; Haar wavelets; Operational matrices

Indexed keywords

ANALYTICAL SOLUTIONS; BAGLEY-TORVIK EQUATION; FRACTIONAL DIFFERENTIAL EQUATION; FRACTIONAL DIFFERENTIAL EQUATIONS; HAAR WAVELETS; IMMERSED PLATES; MATRIX EQUATIONS; NEWTONIAN FLUIDS; NUMERICAL SOLUTION; OPERATIONAL MATRICES; OPERATIONAL MATRIX OF HAAR WAVELETS;

EID: 83555161701     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.11.007     Document Type: Article
Times cited : (142)

References (12)
  • 1
    • 0021439912 scopus 로고
    • On the appearance of the fractional derivative in the behavior of real materials
    • P.J. Torvik, and R.L. Bagley On the appearance of the fractional derivative in the behavior of real materials ASME J. Appl. Mech. 51 1984 294 298
    • (1984) ASME J. Appl. Mech. , vol.51 , pp. 294-298
    • Torvik, P.J.1    Bagley, R.L.2
  • 5
    • 0002847893 scopus 로고    scopus 로고
    • Fractional calculus integral and differential equations of fractional order
    • A. Carpinteri, F. Mainardi, Springer Verlag Wein
    • R. Gorenflo, and F. Mainardi Fractional calculus integral and differential equations of fractional order A. Carpinteri, F. Mainardi, Fractals and Fractional Calculus in Continuum Mechanics 1997 Springer Verlag Wein 223 276
    • (1997) Fractals and Fractional Calculus in Continuum Mechanics , pp. 223-276
    • Gorenflo, R.1    Mainardi, F.2
  • 6
    • 0030649749 scopus 로고    scopus 로고
    • Haar wavelet method for solving lumped and distributed-parameter systems
    • C.F. Chen, and C.H. Hsiao Haar wavelet method for solving lumped and distributed-parameter systems IEE Proc.-Control Theory Appl. 144 1 1997 87 94
    • (1997) IEE Proc.-Control Theory Appl. , vol.144 , Issue.1 , pp. 87-94
    • Chen, C.F.1    Hsiao, C.H.2
  • 7
    • 34247336205 scopus 로고    scopus 로고
    • Kronecker operational metrics for fractional calculus and some applications
    • A. Kilicman, and Z.A.A.A. Zhour Kronecker operational metrics for fractional calculus and some applications Appl. Math. Comput. 187 2007 250 265
    • (2007) Appl. Math. Comput. , vol.187 , pp. 250-265
    • Kilicman, A.1    Zhour, Z.A.A.A.2
  • 8
    • 77953135236 scopus 로고    scopus 로고
    • Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
    • Y. Li, and W. Zhao Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations Appl. Math. Comput. 216 2010 2276 2285
    • (2010) Appl. Math. Comput. , vol.216 , pp. 2276-2285
    • Li, Y.1    Zhao, W.2
  • 9
    • 70449109370 scopus 로고    scopus 로고
    • μ controller design for integer and fractional plants using piecewise orthogonal functions
    • μ controller design for integer and fractional plants using piecewise orthogonal functions Commun. Nonlinear Sci. Numer. Simul. 15 2010 1267 1278
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 1267-1278
    • Bouafoura, M.K.1    Braiek, N.B.2
  • 10
    • 0036869926 scopus 로고    scopus 로고
    • Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals
    • C. Trinks, and P. Ruge Treatment of dynamic systems with fractional derivatives without evaluating memory-integrals Comput. Mech. 29 6 2002 471 476
    • (2002) Comput. Mech. , vol.29 , Issue.6 , pp. 471-476
    • Trinks, C.1    Ruge, P.2
  • 12
    • 25644439033 scopus 로고    scopus 로고
    • Analytical solution of the Bagley Torvik equation by Adomian decomposition method
    • S. Saha Ray, and R.K. Bera Analytical solution of the Bagley Torvik equation by Adomian decomposition method Appl. Math. Comput. 168 2005 398 410
    • (2005) Appl. Math. Comput. , vol.168 , pp. 398-410
    • Saha Ray, S.1    Bera, R.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.