Solutions of Singular Differential Equations by means of Discrete Fractional Analysis

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 ${{\nabla }^{\upsilon }}(0<\upsilon <1).$