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Riemann–Liouville calculus on quadratic fractal interpolation function with variable scaling factors

Riemann–Liouville calculus on quadratic fractal interpolation function with variable scaling factors In this paper, we explore the Riemann–Liouvllie fractional calculus of quadratic fractal interpolation function (QFIF) with variable scaling factors. Fractional calculus of QFIF with predefined initial condition is investigated in an arbitrary closed interval of $$\mathbb {R}$$ R . Further, the relation between the order of fractional integral (derivative) and the box dimension of QFIF is established. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png The Journal of Analysis Springer Journals

Riemann–Liouville calculus on quadratic fractal interpolation function with variable scaling factors

The Journal of Analysis , Volume 27 (2) – Sep 3, 2018

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Forum D'Analystes, Chennai
Subject
Mathematics; Analysis; Functional Analysis; Abstract Harmonic Analysis; Special Functions; Fourier Analysis; Measure and Integration
ISSN
0971-3611
eISSN
2367-2501
DOI
10.1007/s41478-018-0133-2
Publisher site
See Article on Publisher Site

Abstract

In this paper, we explore the Riemann–Liouvllie fractional calculus of quadratic fractal interpolation function (QFIF) with variable scaling factors. Fractional calculus of QFIF with predefined initial condition is investigated in an arbitrary closed interval of $$\mathbb {R}$$ R . Further, the relation between the order of fractional integral (derivative) and the box dimension of QFIF is established.

Journal

The Journal of AnalysisSpringer Journals

Published: Sep 3, 2018

References