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Mathematics, 2022 In order to further research the relationship between fractals and complicated networks in terms of self-similarity, the uniform convergence property of the sequence of fractal interpolation functions which can generate self-similar graphics through ...
Xuezai Pan, Xudong Shang
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Prediction of gold price pattern by fractal interpolation [PDF]
ریاضی و جامعه, 2023 Analyzing and examining the price trend of an asset is a fundamental step in managing investment risk on that asset. Therefore, in markets, predicting the price trend of an asset is of special interest to traders and even plays a crucial role in a ...
Hamid Reza Yoosefzadeh, Azam Fotovat
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Fractal and Fractional, 2022 In this study, the variable order fractional calculus of the hidden variable fractal interpolation function is explored. It extends the constant order fractional calculus to the case of variable order. The Riemann–Liouville and the Weyl–Marchaud variable
Valarmathi Raja, Arulprakash Gowrisankar
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Fractal interpolation: a sequential approach [PDF]
, 2021 Fractal interpolation is a modern technique to fit and analyze scientific data. We develop a new class of fractal interpolation functions which converge to a data generating (original) function for any choice of the scaling factors.
Vijender N., Navascués M.A.
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Improve Fuzzy Inventory Model of Fractal Interpolation with Vertical Scaling Factor
Science and Technology Indonesia, 2023 The inventory model is used to determine the optimal inventory of a product. In certain cases, parameters in the inventory model are uncertain. Fractal interpolation techniques can be used to overcome parameter with uncertainty.
Eka Susanti +4 more
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THE CALCULUS OF BIVARIATE FRACTAL INTERPOLATION SURFACES [PDF]
Fractals, 2021 In this paper, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions (FIFs). We also prove that the mixed Riemann–Liouville fractional integral and derivative of order [Formula: see text], of bivariate FIFs are again bivariate interpolation functions corresponding to some iterated function system (IFS ...
SUBHASH CHANDRA, SYED ABBAS
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Fractalization of Fractional Integral and Composition of Fractal Splines
Chaos Theory and Applications, 2023 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 $\alpha$.
Gowrisankar Arulprakash
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A Note on Fractal Interpolation vs Fractal Regression [PDF]
Academia Letters, 2021 Fractals fascinates both academics and art lovers. They are a form of chaos. A key feature that distinguishes a fractal from other chaotic phenomena is the self-similarity. This is a property that consists of replicating a shape to smaller pieces of the whole.
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Financial Time Series Modelling Using Fractal Interpolation Functions
AppliedMath, 2023 Time series of financial data are both frequent and important in everyday practice. Numerous applications are based, for example, on time series of asset prices or market indices.
Polychronis Manousopoulos +2 more
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Graph-directed random fractal interpolation function [PDF]
, 2021 Barnsley introduced in [1] the notion of fractal interpolation function (FIF). He said that a fractal function is a (FIF) if it possess some interpolation properties.
SOÓS, Anna, SOMOGYI, Ildikó
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