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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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Local α-fractal interpolation function. [PDF]
Eur Phys J Spec Top, 2023 Constructions of the (global) fractal interpolation functions on standard function spaces got a lot of attention in the last centuries. Motivated by the newly introduced local fractal functions corresponding to a local iterated functions system which is the generalization of the traditional iterated functions system we construct the local non-affine α-
Banerjee A, Akhtar MN, Navascués MA.
europepmc +7 more sources
Scale-Free Fractal Interpolation [PDF]
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
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Generalization of Hermite functions by fractal interpolation
Journal of Approximation Theory, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M A Navascues
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Positivity-Preserving Rational Cubic Fractal Interpolation Function Together with Its Zipper Form [PDF]
AxiomsIn this paper, a novel class of rational cubic fractal interpolation function (RCFIF) has been proposed, which is characterized by one shape parameter and a linear denominator.
Shamli Sharma +4 more
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A fractal-enhanced deep learning framework for forecasting agricultural production in India [PDF]
Scientific ReportsForecasting agricultural production in India is highly challenging due to non-stationary dynamics driven by policy factors and climate volatility. This study investigates the effectiveness of the fractal interpolation function (FIF) (with both variable ...
Shamli Sharma +2 more
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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
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Non-Stationary Fractal Interpolation
Mathematics, 2019 We introduce the novel concept of a non-stationary iterated function system by considering a countable sequence of distinct set-valued maps { F k } k ∈ N where each F k maps H ( X ) → H ( X ) and arises from an ...
Peter Massopust
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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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