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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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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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Fractal Interpolation Surfaces derived from Fractal Interpolation Functions
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.
exaly +4 more sources
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
exaly +3 more sources
Modeling and computational study of cancer treatment with radiotherapy using real data. [PDF]
PLoS ONEThe numerical simulation of biological processes with non-integer ordering is attracting an increasing amount of interest from scientists and academics.
Parvaiz Ahmad Naik +5 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
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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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Local $$\alpha $$-fractal interpolation function
The European Physical Journal Special Topics, 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, Akash +2 more
openaire +4 more sources
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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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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