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Discrete fractional solution of a nonhomogeneous non-Fuchsian differential equations

Yilmazer Resat (Firat University, Faculty of Science, Department of Mathematics, Elazig, Turkey)

In this article, we also present new fractional solutions of the non-homogeneous and homogeneous non-Fuchsian differential equation by using nabla-discrete fractional calculus operator α(0 < α < 1). So, we acquire new solution of these equation in the discrete fractional form via a newly developed method.

Keywords: Discrete fractional calculus, nabla operator, non-Fuchsian equations