Fractalization of Fractional Integral and Composition of Fractal Splines

The present study perturbs the fractional integral of a continuous function $f$ defined on a real compact interval, say $(\mathcal{I}^vf)$ using a family of fractal functions $(\mathcal{I}^vf)^\alpha$ based on the scaling parameter $\alpha$. To elicit this phenomenon, a fractal operator is proposed...

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Bibliographic Details
Main Author: Gowrisankar Arulprakash
Format: Article
Language:English
Published: Akif AKGUL 2023-12-01
Series:Chaos Theory and Applications
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/3294088