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Volumn 23, Issue 2, 2013, Pages 269-271

A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method

Author keywords

Fuzzy fractional heat and wave equations; Homotopy analysis method; Homotopy analysis transform method; Laplace decomposition method

Indexed keywords

CONTROL NONLINEARITIES; LAPLACE TRANSFORMS;

EID: 84880729993     PISSN: 09410643     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00521-012-0855-z     Document Type: Article
Times cited : (37)

References (15)
  • 1
    • 34248666540 scopus 로고
    • Fuzzy sets
    • Zadeh LA (1965) Fuzzy sets. Inf Control 8: 338-353.
    • (1965) Inf Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1
  • 3
    • 0020184062 scopus 로고
    • Towards fuzzy differential calculus: part 3, differentiation
    • Dubois D, Prade H (1982) Towards fuzzy differential calculus: part 3, differentiation. Fuzzy Sets Syst 8: 225-233.
    • (1982) Fuzzy Sets Syst , vol.8 , pp. 225-233
    • Dubois, D.1    Prade, H.2
  • 4
    • 0001237908 scopus 로고
    • Differentials of fuzzy functions
    • Puri ML, Ralescu D (1983) Differentials of fuzzy functions. J Math Anal Appl 91: 321-325.
    • (1983) J Math Anal Appl , vol.91 , pp. 321-325
    • Puri, M.L.1    Ralescu, D.2
  • 6
    • 33846370208 scopus 로고    scopus 로고
    • Numerical solution of fuzzy differential equations by predictor corrector method
    • Allahviranloo T, Ahmadya N, Ahmady E (2007) Numerical solution of fuzzy differential equations by predictor corrector method. Inf Sci 177: 1633-1647.
    • (2007) Inf Sci , vol.177 , pp. 1633-1647
    • Allahviranloo, T.1    Ahmadya, N.2    Ahmady, E.3
  • 7
    • 0346279903 scopus 로고    scopus 로고
    • Numerically solution of fuzzy differential equations by Adomian method
    • Babolian E, Sadeghi H, Javadi Sh (2004) Numerically solution of fuzzy differential equations by Adomian method. Appl Math Comput 149: 547-557.
    • (2004) Appl Math Comput , vol.149 , pp. 547-557
    • Babolian, E.1    Sadeghi, H.2    Javadi, S.3
  • 8
  • 9
    • 33745848160 scopus 로고    scopus 로고
    • Numerical method for solving linear Fredholm fuzzy integral equations of the second kind
    • Abbasbandy S, Babolian E, Alavi M (2007) Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Chaos Solitons Fractals 31: 138-146.
    • (2007) Chaos Solitons Fractals , vol.31 , pp. 138-146
    • Abbasbandy, S.1    Babolian, E.2    Alavi, M.3
  • 10
    • 0009933836 scopus 로고    scopus 로고
    • Numerical solutions of fuzzy differential and integral equations
    • Friedman M, Ma M, Kandel A (1999) Numerical solutions of fuzzy differential and integral equations. Fuzzy Sets Syst 106: 35-48.
    • (1999) Fuzzy Sets Syst , vol.106 , pp. 35-48
    • Friedman, M.1    Ma, M.2    Kandel, A.3
  • 11
    • 77953657912 scopus 로고    scopus 로고
    • Solving fuzzy linear systems by using the Schur complement when coefficient matrix is an M-matrix
    • Hashemi MS, Mirnia MK, Shahmorad S (2008) Solving fuzzy linear systems by using the Schur complement when coefficient matrix is an M-matrix. Iran J Fuzzy Syst 5: 15-29.
    • (2008) Iran J Fuzzy Syst , vol.5 , pp. 15-29
    • Hashemi, M.S.1    Mirnia, M.K.2    Shahmorad, S.3
  • 12
    • 34347339334 scopus 로고    scopus 로고
    • Application of homotopy analysis method to fractional KdV, Burgers-Kuramoto equation
    • Song L, Zhang H (2007) Application of homotopy analysis method to fractional KdV, Burgers-Kuramoto equation. Phys Lett 367(1-2): 88-94.
    • (2007) Phys Lett , vol.367 , Issue.1-2 , pp. 88-94
    • Song, L.1    Zhang, H.2
  • 13
    • 80155134977 scopus 로고    scopus 로고
    • An efficient two step Laplace decomposition algorithm for singular Volterra integral equations
    • Khan M, Gondal MA (2011) An efficient two step Laplace decomposition algorithm for singular Volterra integral equations. Int J Phys Sci 6: 4717-4720.
    • (2011) Int J Phys Sci , vol.6 , pp. 4717-4720
    • Khan, M.1    Gondal, M.A.2
  • 14
    • 80155159198 scopus 로고    scopus 로고
    • A new analytical approach to solve Thomas-Fermi equation
    • Khan M, Gondal MA (2011) A new analytical approach to solve Thomas-Fermi equation. World Appl Sci J 12: 2309-2313.
    • (2011) World Appl Sci J , vol.12 , pp. 2309-2313
    • Khan, M.1    Gondal, M.A.2
  • 15
    • 84856505872 scopus 로고    scopus 로고
    • A novel homotopy perturbation transform algorithm for linear and nonlinear system of partial differential equations
    • Khan M, Gondal MA, Kumar S (2011) A novel homotopy perturbation transform algorithm for linear and nonlinear system of partial differential equations. World Appl Sci J 12: 2352-2357.
    • (2011) World Appl Sci J , vol.12 , pp. 2352-2357
    • Khan, M.1    Gondal, M.A.2    Kumar, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.