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New Operational Matrices for Solving Fractional Differential Equations on the Half-Line

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  • Ali H Bhrawy
  • Taha M Taha
  • Ebrahim O Alzahrani
  • Dumitru Baleanu
  • Abdulrahim A Alzahrani

Abstract

In this paper, the fractional-order generalized Laguerre operational matrices (FGLOM) of fractional derivatives and fractional integration are derived. These operational matrices are used together with spectral tau method for solving linear fractional differential equations (FDEs) of order ν (0

Suggested Citation

  • Ali H Bhrawy & Taha M Taha & Ebrahim O Alzahrani & Dumitru Baleanu & Abdulrahim A Alzahrani, 2015. "New Operational Matrices for Solving Fractional Differential Equations on the Half-Line," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-23, May.
    • Handle: RePEc:plo:pone00:0126620
    DOI: 10.1371/journal.pone.0126620
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    References listed on IDEAS

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    1. Gang wei Wang & Tian zhou Xu & Tao Feng, 2014. "Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation," PLOS ONE, Public Library of Science, vol. 9(2), pages 1-6, February.
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    Cited by:

    1. Yu, Hao & Wu, Boying & Zhang, Dazhi, 2018. "A generalized Laguerre spectral Petrov–Galerkin method for the time-fractional subdiffusion equation on the semi-infinite domain," Applied Mathematics and Computation, Elsevier, vol. 331(C), pages 96-111.

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