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arXiv · 2105.04921

Cauchy's formula on nonempty closed sets and a new notion of Riemann--Liouville fractional integral on time scales

Delfim F. M. Torres
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Abstract

We prove Cauchy's formula for repeated integration on time scales. The obtained relation gives rise to new notions of fractional integration and differentiation on arbitrary nonempty closed sets.

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Delfim F. M. Torres. 2021-05-11. Cauchy's formula on nonempty closed sets and a new notion of Riemann--Liouville fractional integral on time scales. https://doi.org/10.1016/j.aml.2021.107407

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