Results 1 to 10 of about 1,105 (254)
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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The Fractal Calculus for Fractal Materials [PDF]
Fractal and Fractional, 2019 The major problem in the process of mixing fluids (for instance liquid-liquid mixers) is turbulence, which is the outcome of the function of the equipment (engine). Fractal mixing is an alternative method that has symmetry and is predictable.
Amir Pishkoo, Mohammad Sadegh Asgari
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Fractal physiology and the fractional calculus: a perspective [PDF]
Frontiers in Physiology, 2010 This paper presents a restricted overview of Fractal Physiology focusing on the complexity of the human body and the characterization of that complexity through fractal measures and their dynamics, with fractal dynamics being described by the fractional ...
Bruce J West
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A numerical framework for fractional and fractal-fractional analysis of the Pehlivan chaotic system using Caputo derivative [PDF]
Scientific ReportsThe Pehlivan chaotic system, introduced by Ibrahim Pehlivan and Yilmaz Uyaroglu, is a three-dimensional autonomous chaotic model with rich dynamical properties.
R. Vinoth, M. Jayalakshmi
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Sumudu transform in fractal calculus
Applied Mathematics and Computation, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alireza Khalili Golmankhaneh
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Fractal calculus and its geometrical explanation
Results in Physics, 2018 Fractal calculus is very simple but extremely effective to deal with phenomena in hierarchical or porous media. Its operation is almost same with that by the advanced calculus, making it much accessible to all non-mathematicians.
Ji-Huan He
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Fractal Continuum Calculus of Functions on Euler-Bernoulli Beam
Fractal and Fractional, 2022 A new approach for solving the fractal Euler-Bernoulli beam equation is proposed. The mapping of fractal problems in non-differentiable fractals into the corresponding problems for the fractal continuum applying the fractal continuum calculus (FdH3-CC ...
Andriy Kryvko +2 more
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Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. [PDF]
PLoS ONEIn biology and life sciences, fractal theory and fractional calculus have significant applications in simulating and understanding complex problems. In this paper, a compartmental model employing Caputo-type fractional and fractal-fractional operators is
Fang Yu +4 more
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Economic models involving time fractal [PDF]
Mathematics and Modeling in Finance, 2021 In this article, the price adjustment equation has been proposed and studied in the frame of fractal calculus which plays an important role in market equilibrium.
Alireza Khalili Golmankhaneh +3 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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