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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.
Alireza Khalili Golmankhaneh +2 more
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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.
Cristina Maria Păcurar +2 more
exaly +7 more sources
Fractal Interpolation Surfaces derived from Fractal Interpolation Functions [PDF]
Journal of Mathematical Analysis and Applications, 2007 The paper presents a new construction of fractal interpolation surfaces based on the construction of fractal interpolation functions and proves some of their interesting properties. With the use of fractal interpolation functions, fractal interpolation surfaces are constructed as graphs of continuous functions on arbitrary data points placed on ...
Bouboulis, P., Dalla, L.
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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
Non-Stationary Fractal Interpolation [PDF]
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
exaly +5 more sources
Enhanced deep learning networks integrated by fractals for air quality index analysis [PDF]
Frontiers in Artificial IntelligenceIntroductionThe Air Quality Index (AQI) provides daily information on the quality of outdoor air and increases with rising air emissions. Accurate AQI analysis and prediction are important for understanding and managing air pollution. This study develops
S. Kala Nandhini, L. Thanga Mariappan
doaj +2 more sources
Fractal interpolation on the Koch Curve
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R Uthayakumar, P Paramanathan
exaly +3 more sources
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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Smooth fractal interpolation [PDF]
Journal of Inequalities and Applications, 2006 Fractal methodology provides a general frame for the understanding of real-world phenomena. In particular, the classical methods of real-data interpolation can be generalized by means of fractal techniques. In this paper, we describe a procedure for the
Sebastián MV, Navascués MA
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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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