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

2020/08/25 by Saurabh Verma, Verma, S., Yongshun Liang +1 · 2 citations
Mathematics · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Approximation Theory and Sequence Spaces

paper · pdf · doi:10.48550/arxiv.2008.11113

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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• Analysis of Fractal Dimension of Mixed Riemann-Liouville Fractional Integral
• Non-stationary φ-contractions and associated fractals

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