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 R. Further, the relation between the order of fractional integral (derivative) and the box dimension of QFIF is established. © 2018, Forum D'Analystes, Chennai.

Gowrisankar A

Department of Mathematics

School of Advanced Sciences

Vellore Campus

M. Guru Prem Prasad

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

The Journal of Analysis

Physica Scripta

Dynamical properties and fractal patterns of nonlinear waves in solar wind plasma

Advances in Analysis

Upper Bound Estimation of Fractal Dimension of Fractional Calculus of Continuous Functions

Mediterranean Journal of Mathematics

Fractional Calculus on Fractal Interpolation for a Sequence of Data with Countable Iterated Function System

Acta Mathematica Sinica, English Series

Fractal dimensions of fractional integral of continuous functions

Fractals

A TYPE OF FRACTAL INTERPOLATION FUNCTIONS AND THEIR FRACTIONAL CALCULUS

One-sided approximation tackles the problem of approximation of a prescribed function by simple traditional functions such as polynomials or trigonometric functions that lie completely above or below it. In this paper, we use the concept of fractal interpolation function (FIF), precisely of fractal trigonometric polynomials, to construct one-sided uniform approximants for some classes of continuous functions. © 2016 World Scientific Publishing Company.

FRACTAL TRIGONOMETRIC POLYNOMIALS for RESTRICTED RANGE APPROXIMATION

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

Journal	Data powered by TypesetThe Journal of Analysis
Publisher	Data powered by TypesetSpringer Science and Business Media LLC
ISSN	0971-3611
Open Access	No