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Volumn 2010, Issue , 2010, Pages

The use of fractional B-splines wavelets in multiterms fractional ordinary differential equations

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EID: 84887749836     PISSN: 16879643     EISSN: 16879651     Source Type: Journal    
DOI: 10.1155/2010/968186     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 44149109234 scopus 로고    scopus 로고
    • Numerical scheme for the solution of fractional differential equations of order greater than one
    • 10.1115/1.2166147
    • Kumar P., Agrawal O. P., Numerical scheme for the solution of fractional differential equations of order greater than one. Journal of Computational and Nonlinear Dynamics 2006 1 2 8 10.1115/1.2166147
    • (2006) Journal of Computational and Nonlinear Dynamics , vol.1 , Issue.2 , pp. 8
    • Kumar, P.1    Agrawal, O.P.2
  • 3
    • 36249022993 scopus 로고    scopus 로고
    • San Diego, Calif, USA Academic Press Mathematics in Science and Engineering MR1658022
    • Podlubny I., Fractional Differential Equations 1999 198 San Diego, Calif, USA Academic Press xxiv+340 Mathematics in Science and Engineering MR1658022
    • (1999) Fractional Differential Equations , vol.198
    • Podlubny, I.1
  • 4
    • 0037113861 scopus 로고    scopus 로고
    • The numerical solution of linear multi-term fractional differential equations: Systems of equations
    • DOI 10.1016/S0377-0427(02)00558-7, PII S0377042702005587
    • Edwards J. T., Ford N. J., Simpson A. C., The numerical solution of linear multi-term fractional differential equations; systems of equations. Journal of Computational and Applied Mathematics 2002 148 2 401 418 MR1936147 10.1016/S0377-0427(02)00558-7 ZBL1019.65048 (Pubitemid 36409200)
    • (2002) Journal of Computational and Applied Mathematics , vol.148 , Issue.2 , pp. 401-418
    • Edwards, J.T.1    Ford, N.J.2    Simpson, C.A.3
  • 5
    • 0037081673 scopus 로고    scopus 로고
    • Analysis of fractional differential equations
    • MR1876137 10.1006/jmaa.2000.7194 ZBL1014.34003
    • Diethelm K., Ford N. J., Analysis of fractional differential equations. Journal of Mathematical Analysis and Applications 2002 265 2 229 248 MR1876137 10.1006/jmaa.2000.7194 ZBL1014.34003
    • (2002) Journal of Mathematical Analysis and Applications , vol.265 , Issue.2 , pp. 229-248
    • Diethelm, K.1    Ford, N.J.2
  • 6
    • 0036650479 scopus 로고    scopus 로고
    • A predictor-corrector approach for the numerical solution of fractional differential equations
    • DOI 10.1023/A:1016592219341, Fractional Order Calculus and Its Applications
    • Diethelm K., Ford N. J., Freed A. D., A predictor-corrector approach for the numerical solution of fractional differential equations. Nonlinear Dynamics 2002 29 1-4 3 22 MR1926466 10.1023/A:1016592219341 ZBL1009.65049 (Pubitemid 34945390)
    • (2002) Nonlinear Dynamics , vol.29 , Issue.1-4 , pp. 3-22
    • Diethelm, K.1    Ford, N.J.2    Freed, A.D.3
  • 7
    • 0348158242 scopus 로고    scopus 로고
    • Efficient solution of multi-term fractional differential equations using P (E C) m e methods
    • 10.1007/s00607-003-0033-3 MR2027215 ZBL1035.65066
    • Diethelm K., Efficient solution of multi-term fractional differential equations using P (E C) m E methods. Computing 2003 71 4 305 319 10.1007/s00607-003-0033-3 MR2027215 ZBL1035.65066
    • (2003) Computing , vol.71 , Issue.4 , pp. 305-319
    • Diethelm, K.1
  • 8
    • 62249116725 scopus 로고    scopus 로고
    • A computationally effective predictor-corrector method for simulating fractional order dynamical control system
    • MR2242569
    • Yang C., Liu F., A computationally effective predictor-corrector method for simulating fractional order dynamical control system. The ANZIAM Journal 2005 47 C168 C184 MR2242569
    • (2005) The ANZIAM Journal , vol.47
    • Yang, C.1    Liu, F.2
  • 9
    • 3042709180 scopus 로고    scopus 로고
    • Multi-order fractional differential equations and their numerical solution
    • MR2072809 10.1016/S0096-3003(03)00739-2 ZBL1060.65070
    • Diethelm K., Ford N. J., Multi-order fractional differential equations and their numerical solution. Applied Mathematics and Computation 2004 154 3 621 640 MR2072809 10.1016/S0096-3003(03)00739-2 ZBL1060.65070
    • (2004) Applied Mathematics and Computation , vol.154 , Issue.3 , pp. 621-640
    • Diethelm, K.1    Ford, N.J.2
  • 10
    • 2442548776 scopus 로고    scopus 로고
    • Analysis of a system of fractional differential equations
    • DOI 10.1016/j.jmaa.2004.01.013
    • Daftardar-Gejji V., Babakhani A., Analysis of a system of fractional differential equations. Journal of Mathematical Analysis and Applications 2004 293 2 511 522 MR2053894 10.1016/j.jmaa.2004.01.013 ZBL1058.34002 (Pubitemid 38613236)
    • (2004) Journal of Mathematical Analysis and Applications , vol.293 , Issue.2 , pp. 511-522
    • Daftardar-Gejji, V.1    Babakhani, A.2
  • 11
    • 0033343879 scopus 로고    scopus 로고
    • Wavelets Applications in Signal and Image Processing VII July 1999 Denver, Colo, USA Proceedings of SPIE 10.1117/12.366799
    • Unser M., Blu T., Construction of fractional spline wavelet bases. 3813 Wavelets Applications in Signal and Image Processing VII July 1999 Denver, Colo, USA 422 431 Proceedings of SPIE 10.1117/12.366799
    • Construction of Fractional Spline Wavelet Bases , vol.3813 , pp. 422-431
    • Unser, M.1    Blu, T.2
  • 13
    • 0343877217 scopus 로고    scopus 로고
    • Fractional splines and wavelets
    • MR1738098 10.1137/S0036144598349435 ZBL0940.41004
    • Unser M., Blu T., Fractional splines and wavelets. SIAM Review 2000 42 1 43 67 MR1738098 10.1137/S0036144598349435 ZBL0940.41004
    • (2000) SIAM Review , vol.42 , Issue.1 , pp. 43-67
    • Unser, M.1    Blu, T.2
  • 14
    • 0027233307 scopus 로고
    • A family of polynomial spline wavelet transforms
    • 10.1016/0165-1684(93)90144-Y ZBL0768.41012
    • Unser M., Aldroubi A., Eden M., A family of polynomial spline wavelet transforms. Signal Processing 1993 30 141 162 10.1016/0165-1684(93)90144-Y ZBL0768.41012
    • (1993) Signal Processing , vol.30 , pp. 141-162
    • Unser, M.1    Aldroubi, A.2    Eden, M.3
  • 15
    • 33646262074 scopus 로고    scopus 로고
    • Variational formulation for the stationary fractional advection dispersion equation
    • 10.1002/num.20112
    • Ervin V. J., Roop J. P., Variational formulation for the stationary fractional advection dispersion equation. Numerical Methods for Partial Differential Equations 2005 22 3 558 576 10.1002/num.20112
    • (2005) Numerical Methods for Partial Differential Equations , vol.22 , Issue.3 , pp. 558-576
    • Ervin, V.J.1    Roop, J.P.2
  • 16
    • 0000145521 scopus 로고    scopus 로고
    • On Mittag-Leffler-type functions in fractional evolution processes
    • MR1765955 10.1016/S0377-0427(00)00294-6 ZBL0970.45005
    • Mainardi F., Gorenflo R., On Mittag-Leffler-type functions in fractional evolution processes. Journal of Computational and Applied Mathematics 2000 118 1-2 283 299 MR1765955 10.1016/S0377-0427(00)00294-6 ZBL0970.45005
    • (2000) Journal of Computational and Applied Mathematics , vol.118 , Issue.1-2 , pp. 283-299
    • Mainardi, F.1    Gorenflo, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.