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Mathematics > Classical Analysis and ODEs

Title: Discrete Fractional Solutions of a Physical Differential Equation via $ \nabla $-DFC Operator

Authors: Okkes Ozturk
Abstract: 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 $.
Subjects: Classical Analysis and ODEs (math.CA)
MSC classes: 26A33, 34A08, 39A70
Cite as: arXiv:1803.05016 [math.CA]
  (or arXiv:1803.05016v1 [math.CA] for this version)

Submission history

From: Okkes Ozturk [view email]
[v1] Thu, 8 Mar 2018 09:21:46 GMT (9kb)