Solutions of Singular Differential Equations by means of Discrete Fractional Analysis

Year 2019, Volume: 2 Issue: 3, 201 - 204, 30.12.2019

Resat Yilmazer Gonul Oztas

Abstract

Recently, many researchers demonstrated the usefulness of fractional calculus in the derivation of particular solutions of linear ordinary and partial differential equation of the second order. In this study, we acquire new discrete fractional solutions of singular differential equations (homogeneous and nonhomogeneous) by using discrete fractional nabla operator ${{\nabla }^{\upsilon }}(0<\upsilon <1).$

Keywords

Discrete fractional analysis, Nabla operator, Singular differential equations.

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