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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

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

by
Vedat Suat Ertürk
Department of Mathematics, Ondokuz Mayıs University, 55139, Samsun, Turkey
Math. Comput. Appl. 2011, 16(3), 712-720; https://doi.org/10.3390/mca16030712
Published: 1 December 2011
Versions Notes

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

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MDPI and ACS Style

Ertürk, V.S. Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method. Math. Comput. Appl. 2011, 16, 712-720. https://doi.org/10.3390/mca16030712

AMA Style

Ertürk VS. Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method. Mathematical and Computational Applications. 2011; 16(3):712-720. https://doi.org/10.3390/mca16030712

Chicago/Turabian Style

Ertürk, Vedat Suat. 2011. "Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method" Mathematical and Computational Applications 16, no. 3: 712-720. https://doi.org/10.3390/mca16030712

APA Style

Ertürk, V. S. (2011). Computing Eigenelements of Sturm–Liouville Problems of Fractional Order via Fractional Differential Transform Method. Mathematical and Computational Applications, 16(3), 712-720. https://doi.org/10.3390/mca16030712

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