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arXiv · 2309.03207

Fractional integration and differentiation

Oleg Yaremko·Andrey Yachmenev
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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.

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Oleg Yaremko, Andrey Yachmenev. 2023-08-18. Fractional integration and differentiation. https://arxiv.org/abs/2309.03207

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