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Open AccessArticle

On Discrete Fractional Solutions of Non-Fuchsian Differential Equations

by Resat Yilmazer 1,*,†, Mustafa Inc 1,† and Mustafa Bayram 2,†
1
Department of Mathematics, Firat University, 23119 Elazig, Turkey
2
Department of Computer Engineering, Istanbul Gelisim University, 34315 Istanbul, Turkey
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2018, 6(12), 308; https://doi.org/10.3390/math6120308
Received: 15 October 2018 / Revised: 28 November 2018 / Accepted: 5 December 2018 / Published: 7 December 2018
In this article, we obtain new fractional solutions of the general class of non-Fuchsian differential equations by using discrete fractional nabla operator η ( 0 < η < 1 ) . This operator is applied to homogeneous and nonhomogeneous linear ordinary differential equations. Thus, we obtain new solutions in fractional forms by a newly developed method. View Full-Text
Keywords: discrete fractional calculus; fractional nabla operator; non-Fuchsian equations discrete fractional calculus; fractional nabla operator; non-Fuchsian equations
MDPI and ACS Style

Yilmazer, R.; Inc, M.; Bayram, M. On Discrete Fractional Solutions of Non-Fuchsian Differential Equations. Mathematics 2018, 6, 308.

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