Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method

Vedat Suat Ertürk

doi:10.3390/mca16030712

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Article

1 December 2011

Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method

Department of Mathematics, Ondokuz Mayıs University, 55139, Samsun, Turkey

Math. Comput. Appl.2011, 16(3), 712-720;https://doi.org/10.3390/mca16030712

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Abstract

In this study, fractional differential transform method (FDTM), which is a semi analytical-numerical technique, is used for computing the eigenelements of the Sturm-Liouville problems of fractional order. The fractional derivatives are described in the Caputo sense. Three problems are solved by the present method. The calculated results are compared closely with the results obtained by some existing techniques in literature. It is observed that FDTM can be utilized as an alternative tool for the solution of this type of problems.

Keywords:

Fractional differential transform method; Caputo derivative; Sturm-Liouville prolems; Eigenelement

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