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Volumn 65, Issue 2, 2013, Pages 334-349

Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis

Author keywords

Bernstein polynomials; Caputo derivative; Convergence analysis; Fractional differential equations; Operational matrix

Indexed keywords


EID: 84877270201     PISSN: 12211451     EISSN: 18418759     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (61)

References (19)
  • 1
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent II
    • Caputo M., Linear models of dissipation whose Q is almost frequency independent II, Geophys. J. Roy. Astronom. Soc., 13, 529-539 (1967).
    • (1967) Geophys. J. Roy. Astronom. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 4
    • 0012899160 scopus 로고    scopus 로고
    • Numerical solution of the Bagley-Torvik equation
    • Diethelm K., Ford N. J., Numerical solution of the Bagley-Torvik equation, BIT, 42, 490-507 (2002).
    • (2002) BIT , vol.42 , pp. 490-507
    • Diethelm, K.1    Ford, N.J.2
  • 7
    • 76549123950 scopus 로고    scopus 로고
    • Solving of the fractional nonlinear and linear Schrodinger equations by homotopy perturbation method
    • Baleanu D., Golmankhaneh Alireza K. and Golmankhaneh Ali K., Solving of the fractional nonlinear and linear Schrodinger equations by homotopy perturbation method, Rom. J. Phys., 54, 9-10, 823-832 (2009).
    • (2009) Rom. J. Phys. , vol.54 , Issue.9-10 , pp. 823-832
    • Baleanu, D.1    Golmankhaneh Alireza, K.2    Golmankhaneh Ali, K.3
  • 8
    • 34248373867 scopus 로고    scopus 로고
    • Solving a multi-order fractional differential equation using adomian decomposition
    • Daftardar-Gejji V. and Jafari H., Solving a multi-order fractional differential equation using adomian decomposition, J. Math. Anal. Appl., 189, 541-548 (2007).
    • (2007) J. Math. Anal. Appl. , vol.189 , pp. 541-548
    • Daftardar-Gejji, V.1    Jafari, H.2
  • 9
    • 0037174280 scopus 로고    scopus 로고
    • Analytical approximate solutions for nonlinear fractional differential equations
    • Shawagfeh N. T., Analytical approximate solutions for nonlinear fractional differential equations, Appl. Math. Comput., 131, 517-529 (2002).
    • (2002) Appl. Math. Comput. , vol.131 , pp. 517-529
    • Shawagfeh, N.T.1
  • 10
    • 34250215244 scopus 로고    scopus 로고
    • Solution of fractional differential equations by using differential transform method
    • Arikoglu A. and Ozkol I., Solution of fractional differential equations by using differential transform method, Chaos Solit. Fract., 34, 1473-1481 (2007).
    • (2007) Chaos Solit. Fract. , vol.34 , pp. 1473-1481
    • Arikoglu, A.1    Ozkol, I.2
  • 11
    • 9744276851 scopus 로고    scopus 로고
    • Numerical methods for multiterm fractional (arbitrary) orders differential equations
    • El-Mesiry A., El-Sayed A. and El-Saka H., Numerical methods for multiterm fractional (arbitrary) orders differential equations, Appl. Math. Comput., 160, 683-699 (2005).
    • (2005) Appl. Math. Comput. , vol.160 , pp. 683-699
    • El-Mesiry, A.1    El-Sayed, A.2    El-Saka, H.3
  • 12
    • 33748425302 scopus 로고    scopus 로고
    • Numerical comparison of methods for solving linear differential equations of fractional order
    • Momani S. and Odibat Z., Numerical comparison of methods for solving linear differential equations of fractional order, Chaos Solit. Fract., 31, 1248-1255 (2007).
    • (2007) Chaos Solit. Fract. , vol.31 , pp. 1248-1255
    • Momani, S.1    Odibat, Z.2
  • 13
    • 79961013964 scopus 로고    scopus 로고
    • Numerical solution of fractional differential equations using the generalized block pulse operational matrix
    • Li Y. and Sun N., Numerical solution of fractional differential equations using the generalized block pulse operational matrix, Comput. Math. Appl., 62, 2011, 1046-1054.
    • (2011) Comput. Math. Appl. , vol.62 , pp. 1046-1054
    • Li, Y.1    Sun, N.2
  • 17
    • 84878425407 scopus 로고    scopus 로고
    • Solving multi-dimensional FOCPs with inequality constraint by BPs operational matrices
    • in press
    • Alipour M., Rostamy D. and Baleanu D., Solving multi-dimensional FOCPs with inequality constraint by BPs operational matrices, J. Vibr. Contr., in press.
    • J. Vibr. Contr.
    • Alipour, M.1    Rostamy, D.2    Baleanu, D.3
  • 19
    • 84877260417 scopus 로고    scopus 로고
    • Bernstein polynomials for solving Abel's integral equation
    • Alipour M. and Rostamy D., Bernstein polynomials for solving Abel's integral equation, J. Math. Comput. Sci., 3, 4, 403-412 (2011).
    • (2011) J. Math. Comput. Sci. , vol.3 , Issue.4 , pp. 403-412
    • Alipour, M.1    Rostamy, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.