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Fractal Calculus on Fractal Interpolation Functions [PDF]
Fractal and Fractional, 2021 In this paper, fractal calculus, which is called Fα-calculus, is reviewed. Fractal calculus is implemented on fractal interpolation functions and Weierstrass functions, which may be non-differentiable and non-integrable in the sense of ordinary calculus.
Arulprakash Gowrisankar +2 more
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Scale-Free Fractal Interpolation
Fractal and Fractional, 2022 An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by a nonlinear contraction, is investigated here.
María A Navascués +2 more
exaly +6 more sources
Optimizing the neural network and iterated function system parameters for fractal approximation using a modified evolutionary algorithm [PDF]
Scientific ReportsFractal interpolation has gained significant attention due to its ability to model complex, self-similar structures with high precision. However, optimizing the parameters of Iterated Function System (IFS)-based fractal interpolants remains a challenging
Sana Abdulla, K. Mahipal Reddy
doaj +2 more sources
An analysis of COVID-19 spread based on fractal interpolation and fractal dimension [PDF]
Chaos, Solitons and Fractals, 2020 Cristina-Maria Păcurar
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Fractal interpolation-based micro-surface reconstruction method for composite pore walls
Xibei Gongye Daxue Xuebao, 2023 The pore wall morphology of carbon fiber reinforced composite (CFRP) laminates is one of the key factors to determine their service performance. However, due to the direction angle of the material fibers, the original micro surface morphology of the pore
HU Wenlong +4 more
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Fractal Interpolation Using Harmonic Functions on the Koch Curve
Fractal and Fractional, 2021 The Koch curve was first described by the Swedish mathematician Helge von Koch in 1904 as an example of a continuous but nowhere differentiable curve.
Song-Il Ri +2 more
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Convexity-Preserving Rational Cubic Zipper Fractal Interpolation Curves and Surfaces
Mathematical and Computational Applications, 2023 A class of zipper fractal functions is more versatile than corresponding classes of traditional and fractal interpolants due to a binary vector called a signature.
Vijay, Arya Kumar Bedabrata Chand
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Soil parameters in terms of entropy coordinates [PDF]
E3S Web of Conferences, 2023 In the ongoing research, an approximate, grading entropy based, advanced interpolation method is applied to establish empirical functions between the grading curves and the model parameters of sands. The space of the grain size distribution curves with N
Imre Emőke +6 more
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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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