Abstract
In this paper, we consider a class of fractional Sturm-Liouville problems, in which the second order derivative is replaced by the Caputo fractional derivative. The Laplace transform method is applied to obtain algebraic equations. Then, the eigenvalues and the eigenfunctions of the fractional Sturm-Liouville problems are obtained numerically. We provide a convergence analysis for given method. Finally, the simplicity and efficiency of the numerical method is shown by some examples.
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Sadabad, M.K., Akbarfam, A.J. & Shiri, B. A Numerical Study of Eigenvalues and Eigenfunctions of Fractional Sturm-Liouville Problems via Laplace Transform. Indian J Pure Appl Math 51, 857–868 (2020). https://doi.org/10.1007/s13226-020-0436-2
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DOI: https://doi.org/10.1007/s13226-020-0436-2