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arXiv · 2008.11113

Effect of the Riemann-Liouville fractional integral on unbounded variation points

S. Verma·Y. S. Liang
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Abstract

This paper targets to study the effect of the Riemann-Liouville fractional integral operator on unbounded variation points of a continuous function. In particular, we show that the fractional integral preserves the bounded variation points of a function. We also prove that the fractional integral operator is a bounded linear operator on the class of bounded variation and continuous functions.

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S. Verma, Y. S. Liang. 2020-08-25. Effect of the Riemann-Liouville fractional integral on unbounded variation points. https://arxiv.org/abs/2008.11113

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