On Discrete Fractional Solutions of Non-Fuchsian Differential Equations

Resat Yilmazer, Mustafa Inc and Mustafa Bayram
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Resat Yilmazer: Department of Mathematics, Firat University, 23119 Elazig, Turkey
Mustafa Inc: Department of Mathematics, Firat University, 23119 Elazig, Turkey
Mustafa Bayram: Department of Computer Engineering, Istanbul Gelisim University, 34315 Istanbul, Turkey

Mathematics, 2018, vol. 6, issue 12, 1-9

Abstract: 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.

Keywords: discrete fractional calculus; fractional nabla operator; non-Fuchsian equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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