메뉴 건너뛰기




Volumn 51, Issue 4, 2010, Pages 464-475

A Chebyshev pseudo-spectral method for solving fractional-order integro-differential equations

Author keywords

Chebyshev pseudo spectral method; fractional order integro differential equations of Volterra type

Indexed keywords


EID: 79960376707     PISSN: 14461811     EISSN: 14468735     Source Type: Journal    
DOI: 10.1017/S1446181110000830     Document Type: Article
Times cited : (93)

References (25)
  • 1
    • 64949197043 scopus 로고    scopus 로고
    • Solution of fractional integro-differential equations by using fractional differential transform method
    • A. Arikoglu and I. Ozkol, "Solution of fractional integro-differential equations by using fractional differential transform method", Chaos Solitons Fractals 34 (2009) 521-529.
    • (2009) Chaos Solitons Fractals , vol.34 , pp. 521-529
    • Arikoglu, A.1    Ozkol, I.2
  • 2
    • 0020765202 scopus 로고
    • A theoretical basis for the application of fractional calculus to viscoelasticity
    • R. L. Bagley and P. J. Torvik, "A theoretical basis for the application of fractional calculus to viscoelasticity", J. Rheol. 27 (1983) 201-210.
    • (1983) J. Rheol. , vol.27 , pp. 201-210
    • Bagley, L.R.1    Torvik, J.P.2
  • 3
    • 30244493399 scopus 로고    scopus 로고
    • Long memory processes and fractional integration in econometrics
    • R. T. Baillie, "Long memory processes and fractional integration in econometrics", J. Econometrics 73 (1996) 5-59.
    • (1996) J. Econometrics , vol.73 , pp. 5-59
    • Baillie, T.R.1
  • 4
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent. Part II
    • M. Caputo, "Linear models of dissipation whose Q is almost frequency independent. Part II", Geophys. J. R. Astr. Soc. 13 (1967) 529-539.
    • (1967) Geophys. J. R. Astr. Soc. , vol.13 , pp. 529-539
    • Caputo, M.1
  • 5
    • 20444465327 scopus 로고    scopus 로고
    • Fractional dynamics of interfaces between soft-nanoparticles and rough substrates
    • T. S. Chow, "Fractional dynamics of interfaces between soft-nanoparticles and rough substrates", Phys. Lett. A 342 (2005) 148-155.
    • (2005) Phys. Lett. A , vol.342 , pp. 148-155
    • Chow, S.T.1
  • 12
    • 43949121726 scopus 로고    scopus 로고
    • The approximate and exact solutions of the space-and time-fractional Burger's equations with initial conditions by variational iteration method
    • M. Inc, "The approximate and exact solutions of the space-and time-fractional Burger's equations with initial conditions by variational iteration method", J. Math. Anal. Appl. 345 (2008) 476-484.
    • (2008) J. Math. Anal. Appl. , vol.345 , pp. 476-484
    • Inc, M.1
  • 13
    • 76649139784 scopus 로고    scopus 로고
    • Fractional radiative transfer equation within Chebyshev spectral approach
    • A. Kadem and D. Baleanu, "Fractional radiative transfer equation within Chebyshev spectral approach", Comput. Math. Appl. 59 (2010) 1865-1873.
    • (2010) Comput. Math. Appl. , vol.59 , pp. 1865-1873
    • Kadem, A.1    Baleanu, D.2
  • 14
    • 70349986628 scopus 로고    scopus 로고
    • Analytical method based onWalsh function combined with orthogonal polynomial for fractional transport equation
    • A. Kadem and D. Baleanu, "Analytical method based onWalsh function combined with orthogonal polynomial for fractional transport equation", Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 491-501.
    • Commun. Nonlinear Sci. Numer. Simul. , vol.15 , Issue.2010 , pp. 491-501
    • Kadem, A.1    Baleanu, D.2
  • 17
    • 33750841854 scopus 로고    scopus 로고
    • Numerical methods for fourth-order fractional integro-differential equations
    • DOI 10.1016/j.amc.2006.04.041, PII S0096300306003845
    • S. Momani and M. A. Noor, "Numerical methods for fourth-order fractional integro-differential equations", Appl. Math. Comput. 182 (2006) 754-760. (Pubitemid 44716325)
    • (2006) Applied Mathematics and Computation , vol.182 , Issue.1 , pp. 754-760
    • Momani, S.1    Aslam Noor, M.2
  • 20
    • 33646161468 scopus 로고    scopus 로고
    • Numerical solution of fractional integro-differential equations by collocation method
    • E. A. Rawashdeh, "Numerical solution of fractional integro-differential equations by collocation method", Appl. Math. Comput. 176 (2006) 1-6.
    • (2006) Appl. Math. Comput. , vol.176 , pp. 1-6
    • Rawashdeh, A.E.1
  • 21
    • 33847786088 scopus 로고    scopus 로고
    • Numerical solution of the one-dimensional wave equation with an integral condition
    • DOI 10.1002/num.20177
    • A. Saadatmandi and M. Dehghan, "Numerical solution of the one-dimensional wave equation with an integral condition", Numer. Methods Partial Differential Equations 23 (2007) 282-292. (Pubitemid 46388374)
    • (2007) Numerical Methods for Partial Differential Equations , vol.23 , Issue.2 , pp. 282-292
    • Saadatmandi, A.1    Dehghan, M.2
  • 22
    • 57749203983 scopus 로고    scopus 로고
    • Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method
    • A. Saadatmandi and M. Dehghan, "Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method", Comm. Numer. Methods Engrg. 24 (2008) 1467-1474.
    • (2008) Comm. Numer. Methods Engrg. , vol.24 , pp. 1467-1474
    • Saadatmandi, A.1    Dehghan, M.2
  • 24
    • 35349007940 scopus 로고    scopus 로고
    • Numerical studies for a multi-order fractional differential equation
    • N. H. Sweilam, M. M. Khader and R. F. Al-Bar, "Numerical studies for a multi-order fractional differential equation", Phys. Lett. A 371 (2007) 26-33.
    • (2007) Phys. Lett. A , vol.371 , pp. 26-33
    • Sweilam, H.N.1    Khader, M.M.2    Al-Bar, R.F.3
  • 25
    • 77949492283 scopus 로고    scopus 로고
    • Solving a nonlinear fractional differential equation using Chebyshev wavelets
    • L. Yuanlu, "Solving a nonlinear fractional differential equation using Chebyshev wavelets", Commun. Nonlinear Sci. Numer. Simul. 15 (2010) 2284-2292.
    • (2010) Commun. Nonlinear Sci. Numer. Simul. , vol.15 , pp. 2284-2292
    • Yuanlu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.