Results 21 to 30 of about 531 (214)
Mathematical Modeling of Breast Cancer Based on the Caputo–Fabrizio Fractal-Fractional Derivative
Fractal and Fractional, 2023 Breast cancer ranks among the most prevalent malignancies affecting the female population and is a prominent contributor to cancer-related mortality. Mathematical modeling is a significant tool that can be employed to comprehend the dynamics of breast ...
Muhammad Idrees +2 more
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Fractal and Fractional, 2023 One of the promising approaches to the description of many physical processes is the use of the fractional derivative mathematical apparatus. Fractional dimensions very often arise when modeling various processes in fractal (multi-scale and self-similar)
Vetlugin D. Beybalaev +4 more
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He’s frequency formula to fractal undamped Duffing equation
Journal of Low Frequency Noise, Vibration and Active Control, 2021 Nonlinear oscillation is an increasingly important and extremely interesting topic in engineering. This article completely reviews a simple method proposed by Ji-Huan He and successfully establishes a fractal undamped Duffing equation through the two ...
Guang-Qing Feng
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Modeling the dynamics of COVID-19 using fractal-fractional operator with a case study
Results in Physics, 2022 This research study consists of a newly proposed Atangana–Baleanu derivative for transmission dynamics of the coronavirus (COVID-19) epidemic. Taking the advantage of non-local Atangana–Baleanu fractional-derivative approach, the dynamics of the well ...
Jian-Cun Zhou +3 more
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Advances in Mechanical Engineering, 2017 Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid.
Xianglong Su, Wen Chen, Wenxiang Xu
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The fractal dimension behaviour of the domain patterns in ferrite-garnet films
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2023 In this work, using a set of experimental techniques and specialized software, we studied bismuth-containing ferrite garnet films of various thicknesses and with different stoichiometric compositions grown on gadolinium gallium garnet substrates.
A.D. Zigert +4 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.
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Scientific Reports, 2023 In this paper, the newly developed Fractal-Fractional derivative with power law kernel is used to analyse the dynamics of chaotic system based on a circuit design.
Naveed Khan +7 more
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Review of Fractal and Fractal Derivatives in relation to the Physics of Fractals
, 2013 Fractional and fractal derivatives are both generalizations of the usual derivatives that consider derivatives of non-integer orders. Interest in these generalizations has been triggered by a resurgence of clamor to develop a mathematical tool to describe “roughness” in the spirit of Mandelbrot’s (1967) Fractal Geometry. Fractional derivatives take the
Maglasang, Gibson T. +3 more
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Advances in Mathematical Physics, 2015 The relationship between the unique internal structure of biomimic woven fabric and its moisture management property is investigated using fractal derivative method.
Jie Fan +5 more
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