Representation of the solution for fractional Sturm-Liouville problem

Baş, Erdal; Metin, Funda

doi:10.1063/1.4952074

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“…Neamatz et al [7] and Shi et al [8] used the method of Haar wavelet operational matrix. In [9][10][11][12][13], researchers extended the scope of some spectral properties of fractional Sturm-Liouville problem. http://www.ispacs.com/journals/cna/2017/cna-00325/ International Scientific Publications and Consulting Services Variational methods and Inverse Laplace transform method applied in [14][15], respectively.…”

Section: Introductionmentioning

confidence: 99%

Numerical Computation of Fractional Second-Order Sturm-Liouville Problems

Syam¹

2017

Communications in Numerical Analysis

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In this article, we investigate the eigenvalues of nonsingular fractional second-order Sturm-Liouville problem. The fractional derivative in this paper is in the conformable fractional derivative sense. We implement the reproducing kernel Hilbert space method to approximate the eigenvalues. Convergence of the proposed method is discussed. The main properties of the Sturm-Liouville problem are investigated. Numerical results demonstrate the accuracy of the present algorithm. Comparisons with other methods are presented.

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