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Volumn 72, Issue 5, 2010, Pages 2367-2374

On the character of operational solutions of the time-fractional diffusion equation

Author keywords

Diffusion equation; Fractional calculus; Mikusi ski operators; Operational calculus

Indexed keywords

APPROXIMATE SOLUTION; DIFFUSION EQUATIONS; FRACTIONAL CALCULUS; NON-HOMOGENEOUS; OPERATIONAL SOLUTIONS; SKI OPERATORS; TIME-FRACTIONAL DIFFUSION;

EID: 72749083090     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2009.10.037     Document Type: Article
Times cited : (5)

References (15)
  • 1
    • 0001407424 scopus 로고    scopus 로고
    • The fundamental solution of the space-time fractional diffusion equation
    • Mainardi F., Luchko Yu., and Pagnini G. The fundamental solution of the space-time fractional diffusion equation. Frac. Calc. Appl. 4 2 (2001) 153-192
    • (2001) Frac. Calc. Appl. , vol.4 , Issue.2 , pp. 153-192
    • Mainardi, F.1    Luchko, Yu.2    Pagnini, G.3
  • 2
    • 0037457788 scopus 로고    scopus 로고
    • The Wright functions as the solutions of time-fractional diffusion equation
    • Mainardi F., and Pagnini G. The Wright functions as the solutions of time-fractional diffusion equation. Appl. Math. Comp. 141 1 (2003) 51-62
    • (2003) Appl. Math. Comp. , vol.141 , Issue.1 , pp. 51-62
    • Mainardi, F.1    Pagnini, G.2
  • 3
    • 60549112414 scopus 로고    scopus 로고
    • Variational iteration method for fractional heat- and wave-like equations
    • Yulita M.R., Noorani M.S.M., and Hashim I. Variational iteration method for fractional heat- and wave-like equations. Nonlinear Anal. 10 (2009) 1854-1869
    • (2009) Nonlinear Anal. , vol.10 , pp. 1854-1869
    • Yulita, M.R.1    Noorani, M.S.M.2    Hashim, I.3
  • 4
    • 4344699864 scopus 로고    scopus 로고
    • The approximate solution of nonlinear equations
    • Takači Dj., and Takači A. The approximate solution of nonlinear equations. Publ. Math. Debrecen, Tomus 65 1-2 (2004) 65-79
    • (2004) Publ. Math. Debrecen, Tomus , vol.65 , Issue.1-2 , pp. 65-79
    • Takači, Dj.1    Takači, A.2
  • 5
    • 14644404383 scopus 로고    scopus 로고
    • The character of operational successive approximations
    • Takači Dj., and Takači A. The character of operational successive approximations. Nonlinear Anal. 61 (2005) 503-515
    • (2005) Nonlinear Anal. , vol.61 , pp. 503-515
    • Takači, Dj.1    Takači, A.2
  • 6
    • 34247497772 scopus 로고    scopus 로고
    • On the approximate solution of mathematical model of a viscoelastic bar
    • Takači Dj., and Takači A. On the approximate solution of mathematical model of a viscoelastic bar. Nonlinear Anal. 67 (2007) 1560-1569
    • (2007) Nonlinear Anal. , vol.67 , pp. 1560-1569
    • Takači, Dj.1    Takači, A.2
  • 7
    • 34548402912 scopus 로고    scopus 로고
    • On the mathematical model of a viscoelastic bar
    • Takači Dj., and Takači A. On the mathematical model of a viscoelastic bar. Math. Methods Appl. Sci. 30 (2007) 1685-1695
    • (2007) Math. Methods Appl. Sci. , vol.30 , pp. 1685-1695
    • Takači, Dj.1    Takači, A.2
  • 8
    • 0010173982 scopus 로고
    • A brief history and exposition of fundamental theory of fractional calculus
    • Fractional Calculus and Its Applications (Proc. 1st Internat. Conf. held in New Haven, 1974). Ross B. (Ed), Springer-Verlag, New York
    • Ross B. A brief history and exposition of fundamental theory of fractional calculus. Fractional Calculus and Its Applications (Proc. 1st Internat. Conf. held in New Haven, 1974). In: Ross B. (Ed). Lecture Notes in Math. vol. 457 (1975), Springer-Verlag, New York 1-37
    • (1975) Lecture Notes in Math. , vol.457 , pp. 1-37
    • Ross, B.1
  • 10
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent- II
    • Reprinted in: Fract. Calc. Appl. Anal., 11(1) (2008), 3-14
    • Caputo M. Linear models of dissipation whose Q is almost frequency independent- II. Geophys. J. Royal Astronom. Soc. 13 5 (1967) 529-539 Reprinted in: Fract. Calc. Appl. Anal., 11(1) (2008), 3-14
    • (1967) Geophys. J. Royal Astronom. Soc. , vol.13 , Issue.5 , pp. 529-539
    • Caputo, M.1
  • 12
    • 0004254376 scopus 로고
    • PWN-Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford
    • Mikusiński J. Operational Calculus, Vol. I (1983), PWN-Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford
    • (1983) Operational Calculus, Vol. I
    • Mikusiński, J.1
  • 13
    • 0040480430 scopus 로고
    • On the function of E. M. Wright
    • Stanković B. On the function of E. M. Wright. Publ. Inst. Math. 10 (1970) 113-124
    • (1970) Publ. Inst. Math. , vol.10 , pp. 113-124
    • Stanković, B.1
  • 14
    • 0004254376 scopus 로고
    • PWN-Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford
    • Mikusiński J., and Boehme T. Operational Calculus, Vol. II (1987), PWN-Polish Scientific Publishers, Warszawa and Pergamon Press, Oxford
    • (1987) Operational Calculus, Vol. II
    • Mikusiński, J.1    Boehme, T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.