English

Fractional integration and differentiation

General Mathematics 2023-09-08 v1

Abstract

In this paper, we introduce a new method for calculating fractional integrals and differentials. The method involves an equation that we have obtained from infinite applied integration by parts. The equation works for special class of functions and provides a series representation of integration. This representation will be useful for working with smooth functions and for approximation due to the potential reduction of the value of the sequential elements.

Keywords

Cite

@article{arxiv.2309.03207,
  title  = {Fractional integration and differentiation},
  author = {Oleg Yaremko and Andrey Yachmenev},
  journal= {arXiv preprint arXiv:2309.03207},
  year   = {2023}
}

Comments

10 pages

R2 v1 2026-06-28T12:14:33.870Z