A Numerical Study of Eigenvalues and Eigenfunctions of Fractional Sturm-Liouville Problems via Laplace Transform

Mahnaz Kashfi Sadabad (), Aliasghar Jodayree Akbarfam () and Babak Shiri ()
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Mahnaz Kashfi Sadabad: University of Tabriz
Aliasghar Jodayree Akbarfam: University of Tabriz
Babak Shiri: University of Tabriz

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 857-868

Abstract: 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.

Keywords: Fractional Sturm-Liouville problem; Caputo fractional derivative; Laplace transform; 34B24; 65N25; 35R11 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0436-2

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