Discrete Fractional Solutions of a Physical Differential Equation via \n \∇ -DFC Operator

2018/03/08 by Ökkeş Öztürk, Ozturk, Okkes
Mathematics · Physics and Astronomy · #26A33 #34A08 #39A70 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fractional Differential Equations Solutions #Mathematical functions and polynomials #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1803.05016

openalex publication_date 2018/03/08 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28

Abstract

Discrete mathematics, the study of finite structures, is one of the fastest\ngrowing areas in mathematics and optimization. Discrete fractional calculus\n(DFC) theory that is an important subject of the fractional calculus includes\nthe difference of fractional order. In present paper, we mention the radial\nSchr "odinger equation which is a physical and singular differential\nequation. And, we can obtain the particular solutions of this equation by\napplying nabla ( \∇ ) discrete fractional operator. This operator gives\nsuccessful results for the singular equations, and solutions have fractional\nforms including discrete shift operator E .\n

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