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Finite Element Method for Linear Multiterm Fractional Differential Equations

Author

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  • Abdallah A. Badr

Abstract

We consider the linear multiterm fractional differential equation (fDE). Existence and uniqueness of the solution of such equation are discussed. We apply the finite element method (FEM) to obtain the numerical solution of this equation using Galerkin approach. A comparison, through examples, between our techniques and other previous numerical methods is established.

Suggested Citation

  • Abdallah A. Badr, 2012. "Finite Element Method for Linear Multiterm Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:482890
    DOI: 10.1155/2012/482890
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    References listed on IDEAS

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    1. Momani, Shaher, 2006. "Non-perturbative analytical solutions of the space- and time-fractional Burgers equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(4), pages 930-937.
    2. M. H. Heydari & M. R. Hooshmandasl & F. M. Maalek Ghaini & F. Mohammadi, 2012. "Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-19, February.
    3. M. H. Heydari & M. R. Hooshmandasl & F. M. Maalek Ghaini & F. Mohammadi, 2012. "Wavelet Collocation Method for Solving Multiorder Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Jingjun Zhao & Jingyu Xiao & Yang Xu, 2013. "Stability and Convergence of an Effective Finite Element Method for Multiterm Fractional Partial Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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