Discrete Fractional Solutions of a Physical Differential Equation via \( \nabla \)-DFC Operator

• Published in: arXiv.org
• Main Author: Ozturk, Okkes
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 08.03.2018
• Subjects: Differential equations; Fractional calculus; Mathematical analysis; Optimization
• ISSN: 2331-8422

Discrete mathematics, the study of finite structures, is one of the fastest growing areas in mathematics and optimization. Discrete fractional calculus (DFC) theory that is an important subject of the fractional calculus includes the difference of fractional order. In present paper, we mention the radial Schr{\"o}dinger equation which is a physical and singular differential equation. And, we can obtain the particular solutions of this equation by applying nabla (\( \nabla \)) discrete fractional operator. This operator gives successful results for the singular equations, and solutions have fractional forms including discrete shift operator \( E \).