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Fractal Sturm–Liouville Theory
Fractal and FractionalThis paper provides a short summary of fractal calculus and its application to generalized Sturm–Liouville theory. It presents both the fractal homogeneous and non-homogeneous Sturm–Liouville problems and explores the theory’s applications in optics.
Alireza Khalili Golmankhaneh +3 more
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Investigation and Application of Fractal Theory in Cement-Based Materials: A Review
Fractal and Fractional, 2021 Cement-based materials, including cement and concrete, are the most widely used construction materials in the world. In recent years, the investigation and application of fractal theory in cement-based materials have attracted a large amount of attention
Lei Wang +6 more
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Periodic waves travelling along an unsmooth boundary via the fractal variational theory
Results in Physics, 2021 The solitary waves of the fractal Korteweg-de Vries (KdV) equation travelling along an unsmooth boundary is studied by Ji-Huan He, et al (Results in Physics, 2021, 104104 [1]).
Bo-Rong Zou, Kang-Jia Wang
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Materials & Design, 2020 The grain size in TWIP steel had a double fractal distribution, with a uniform diameter threshold of approximately 36 μm. Based on this threshold value, the grains were divided into fine and coarse grain sets. A good linear relationship was found between
Hao Fu +4 more
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Research on Gridding of Urban Spatial Form Based on Fractal Theory
ISPRS International Journal of Geo-Information, 2022 Urban spatial form is a significant reference to getting to know cities and running the cities. The fractal theory is an effective means to quantify urban spatial form.
Qindong Fan +3 more
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Review about the Application of Fractal Theory in the Research of Packaging Materials. [PDF]
Materials (Basel), 2021 Duan Q +6 more
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Application basis and research progress of fractal theory in mineral processing
Meitan xuebao, 2023 With the exploitation of mineral resources, some problems, such as the difficulty of mineral resources development and the difficulty of mine solid waste treatment, have seriously restricted the green, economic, efficient and sustainable development of ...
Xinran LIU +5 more
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Mathematical Model for Effective Gas Diffusion Coefficient in Multi-scale Fractal Porous Media [PDF]
E3S Web of Conferences, 2021 Based on the capillary hypothesis and fractal theory, a mathematical model for calculating the effective gas diffusion coefficient in porous media is established. By using fractal geometry theory, pore area fractal dimension, tortuosity fractal dimension
Zhehua Du
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Fractal Model of Contact Thermal Stiffness
Machines, 2022 The continuity, self-similarity, and self-affinity of a microscopic contact surface can be described by the Weierstrass–Mandelbrot (W–M) function in fractal theory. To address the problems that the existing normal contact load fractal model does not take
Yunshuai Chen +4 more
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Atmosphere, 2023 Fractal theory was used to characterize particles and particle trapping parameters to accurately predict the particle filtration process inside a gasoline engine particle filter (GPF). The particles were fractal aggregates, and the fractal dimension (Df)
Yiqing Liu, Hao Wang, Haisheng Yu
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