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Volumn 62, Issue 8, 2011, Pages 3194-3203

Homotopy analysis method for higher-order fractional integro-differential equations

Author keywords

Fractional integro differential equation; Homotopy analysis method; Series solution

Indexed keywords

CONVERGENCE REGION; EXACT SOLUTION; FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION; HIGHER ORDER; HOMOTOPY ANALYSIS METHODS; INITIAL APPROXIMATION; NUMERICAL SOLUTION; RECURRENCE RELATIONS; SERIES SOLUTIONS;

EID: 80053341743     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.08.032     Document Type: Article
Times cited : (85)

References (19)
  • 2
    • 0141961626 scopus 로고    scopus 로고
    • On the homotopy analysis method for nonlinear problems
    • S.J. Liao On the homotopy analysis method for nonlinear problems Applied Mathematics and Computation 147 2004 499 513
    • (2004) Applied Mathematics and Computation , vol.147 , pp. 499-513
    • Liao, S.J.1
  • 3
    • 17944369480 scopus 로고    scopus 로고
    • A new branch of solutions of boundary-layer flows over an impermeable stretched plate
    • S.J. Liao A new branch of solutions of boundary-layer flows over an impermeable stretched plate International Journal of Heat and Mass Transfer 48 2005 2529 2539
    • (2005) International Journal of Heat and Mass Transfer , vol.48 , pp. 2529-2539
    • Liao, S.J.1
  • 5
    • 33750339270 scopus 로고    scopus 로고
    • The application of homotopy analysis method to nonlinear equations arising in heat transfer
    • DOI 10.1016/j.physleta.2006.07.065, PII S0375960106011984
    • S. Abbasbandy The application of homotopy analysis method to nonlinear equations arising in heat transfer Physics Letters A 360 2006 109 113 (Pubitemid 44634988)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.360 , Issue.1 , pp. 109-113
    • Abbasbandy, S.1
  • 6
    • 33845907123 scopus 로고    scopus 로고
    • The application of homotopy analysis method to solve a generalized HirotaSatsuma coupled KdV equation
    • S. Abbasbandy The application of homotopy analysis method to solve a generalized HirotaSatsuma coupled KdV equation Physics Letters A 361 2007 478 483
    • (2007) Physics Letters A , vol.361 , pp. 478-483
    • Abbasbandy, S.1
  • 7
    • 33845432502 scopus 로고    scopus 로고
    • On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
    • DOI 10.1016/j.physleta.2006.09.060, PII S0375960106014861
    • T. Hayat, and M. Sajid On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder Physics Letters A 361 2007 316 322 (Pubitemid 44894740)
    • (2007) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.361 , Issue.4-5 , pp. 316-322
    • Hayat, T.1    Sajid, M.2
  • 8
    • 27744550658 scopus 로고    scopus 로고
    • On non-linear flows with slip boundary condition
    • DOI 10.1007/s00033-005-4006-6
    • T. Hayat, M. Khan, and M. Ayub On non-linear flows with slip boundary condition Zeitschrift fr Angewandte Mathematik und Physik 56 2005 1012 1029 (Pubitemid 41605302)
    • (2005) Zeitschrift fur Angewandte Mathematik und Physik , vol.56 , Issue.6 , pp. 1012-1029
    • Hayat, T.1    Khan, M.2    Ayub, M.3
  • 9
    • 17644421077 scopus 로고    scopus 로고
    • Solving solitary waves with discontinuity by means of the homotopy analysis method
    • DOI 10.1016/j.chaos.2004.12.016, PII S0960077905000524
    • W. Wu, and S.J. Liao Solving solitary waves with discontinuity by means of the homotopy analysis method Chaos, Solitons & Fractals 26 2005 177 185 (Pubitemid 40556381)
    • (2005) Chaos, Solitons and Fractals , vol.26 , Issue.1 , pp. 177-185
    • Wu, W.1    Liao, S.-J.2
  • 10
    • 70350378693 scopus 로고    scopus 로고
    • A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
    • Z. Odibat, S. Momani, and H. Xu A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations Applied Mathematical Modelling 34 2010 593 600
    • (2010) Applied Mathematical Modelling , vol.34 , pp. 593-600
    • Odibat, Z.1    Momani, S.2    Xu, H.3
  • 11
    • 74249121146 scopus 로고    scopus 로고
    • Homotopy analysis method for solving multi-term linear and nonlinear diffusion wave equations of fractional order
    • H. Jafari, A. Golbabai, S. Seifi, and K. Sayevand Homotopy analysis method for solving multi-term linear and nonlinear diffusion wave equations of fractional order Computers & Mathematics with Applications 59 2010 1337 1344
    • (2010) Computers & Mathematics with Applications , vol.59 , pp. 1337-1344
    • Jafari, H.1    Golbabai, A.2    Seifi, S.3    Sayevand, K.4
  • 12
    • 65449123574 scopus 로고    scopus 로고
    • Solving the fractional BBM-Burgers equation using the homotopy analysis method
    • L. Song, and H. Zhang Solving the fractional BBM-Burgers equation using the homotopy analysis method Chaos, Solitons & Fractals 40 2009 1616 1622
    • (2009) Chaos, Solitons & Fractals , vol.40 , pp. 1616-1622
    • Song, L.1    Zhang, H.2
  • 14
    • 0242354999 scopus 로고    scopus 로고
    • Geometric and physical interpretation of fractional integration and fractional differentiation
    • I. Podlubny Geometric and physical interpretation of fractional integration and fractional differentiation Fractional Calculus and Applied Analysis 5 2002 367 386
    • (2002) Fractional Calculus and Applied Analysis , vol.5 , pp. 367-386
    • Podlubny, I.1
  • 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. Aslam Noor Numerical methods for fourth order fractional integro-differential equations Applied Mathematics and Computation 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
  • 18
    • 79953748504 scopus 로고    scopus 로고
    • Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
    • Y. Nawaz Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations Computers & Mathematics with Applications 61 8 2011 2330 2341
    • (2011) Computers & Mathematics with Applications , vol.61 , Issue.8 , pp. 2330-2341
    • Nawaz, Y.1
  • 19
    • 79953722215 scopus 로고    scopus 로고
    • Homotopy analysis method for solving a class of fractional partial differential equations
    • A. Elsaid Homotopy analysis method for solving a class of fractional partial differential equations Communications in Nonlinear Science and Numerical Simulation 16 9 2011 3655 3664
    • (2011) Communications in Nonlinear Science and Numerical Simulation , vol.16 , Issue.9 , pp. 3655-3664
    • Elsaid, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.