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Volumn 6, Issue 81-84, 2012, Pages 4075-4080

Fractional calculus model for damped Mathieu equation: Approximate analytical solution

Author keywords

Adomian decomposition method; Damped Mathieu equation; Fractional calculus

Indexed keywords


EID: 84863761771     PISSN: None     EISSN: 1312885X     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (16)

References (15)
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  • 7
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    • Closed form solution to a second order boundary value problem and its application in fluid mechanics
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    • Eldabe, N.T.1    Elghazy, E.M.2    Ebaid, A.3
  • 8
    • 47049118558 scopus 로고    scopus 로고
    • A new numerical solution for the MHD peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube via Adomian decomposition method
    • A. Ebaid, A new numerical solution for the MHD peristaltic flow of a bio-fluid with variable viscosity in a circular cylindrical tube via Adomian decomposition method, Phys. Lett. A, 372 (2008), 5321 - 5328.
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    • Ebaid, A.1
  • 9
    • 77954040656 scopus 로고    scopus 로고
    • Exact solutions for a class of nonlinear singular two-point boundary value problems: The decomposition method
    • A. Ebaid, Exact solutions for a class of nonlinear singular two-point boundary value problems: The decomposition method, Z. Natur. A, 65 (2010), 145 - 150.
    • (2010) Z. Natur. A , vol.65 , pp. 145-150
    • Ebaid, A.1
  • 10
    • 77955938359 scopus 로고    scopus 로고
    • Modification of Lesnic's approach and new analytic solution for second-order boundary value problems with Dirichlet boundary conditions
    • A. Ebaid, Modification of Lesnic's approach and new analytic solution for second-order boundary value problems with Dirichlet boundary conditions, Z. Natur. A, 372 (2010), 692 - 696.
    • (2010) Z. Natur. A , vol.372 , pp. 692-696
    • Ebaid, A.1
  • 11
    • 79251597260 scopus 로고    scopus 로고
    • A new analytical and numerical treatment for singular twopoint boundary value problems via the Adomian decomposition method
    • A. Ebaid, A new analytical and numerical treatment for singular twopoint boundary value problems via the Adomian decomposition method, J. Comput. Appl. Math., 235 (2011), 1914 - 1924.
    • (2011) J. Comput. Appl. Math. , vol.235 , pp. 1914-1924
    • Ebaid, A.1
  • 12
    • 79960018168 scopus 로고    scopus 로고
    • Approximate analytical solution of a nonlinear boundary value problem and its application in fluid mechanics
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    • Ebaid, A.1
  • 13
    • 84857782829 scopus 로고    scopus 로고
    • Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions
    • E.H. Ali, A. Ebaid, R. Rach, Advances in the Adomian decomposition method for solving two-point nonlinear boundary value problems with Neumann boundary conditions, Comput. Math. Applic., 63 (2012), 1056-1065.
    • (2012) Comput. Math. Applic. , vol.63 , pp. 1056-1065
    • Ali, E.H.1    Ebaid, A.2    Rach, R.3
  • 14
    • 25644439033 scopus 로고    scopus 로고
    • Analytical solution of the Bagley Torvik equation by Adomian decomposition method
    • S.S. Ray, R.K. Bera, Analytical solution of the Bagley Torvik equation by Adomian decomposition method, Appl. Math. Comput., 168 (2005), 398 - 410.
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  • 15
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    • Convergence of Adomian's method and applications to nonlinear partial differential equations
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    • Mavoungou, T.1    Cherruault, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.