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Fractal Description of Rock Fracture Networks Based on the Space Syntax Metric

Fractal and Fractional, 2022
Fractal characteristics and the fractal dimension are widely used in the description and characterization of rock fracture networks. They are important tools for coal mining, oil and gas transportation, and other engineering problems. However, due to the
Lili Sui, Heyuan Wang, Jinsui Wu, Jiwei Zhang, Jian Yu, Xinyu Ma, Qiji Sun   +6 more
doaj   +3 more sources

The Spatial Pattern and Mechanism of Thermal Environment in Urban Blocks from the Perspective of Green Space Fractal

Buildings, 2023
Land resources in cities are limited, and the cost of green space construction is high. Compared with increasing the amount of green space, maximizing the cooling effect of limited green space has important theoretical and practical significance.
Yilu Gong, Xueming Li, He Liu, Yu Li
doaj   +3 more sources

Variational approach for time-space fractal Bogoyavlenskii equation

Alexandria Engineering Journal
In this paper, we apply the variational approach for solving the time-space fractal Bogoyavlenskii equation. By the two-scale fractal complex transformation, the fractal modification of Bogoyarlenskii equation is equivalently rewritten as the original ...
Junfeng Lu, Shaowei Shen, Lei Chen
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Variational Principle for the Generalized KdV-Burgers Equation with Fractal Derivatives for Shallow Water Waves [PDF]

Journal of Applied and Computational Mechanics, 2020
The unsmooth boundary will greatly affect motion morphology of a shallow water wave, and a fractal space is introduced to establish a generalized KdV-Burgers equation with fractal derivatives.
Ji-Huan He
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Fractal Operators and Fractional-Order Mechanics of Bone

Fractal and Fractional, 2023
In recent years, the concept of physical fractal space has been abstracted from muscle/ligament fibers, nerve fibers and blood flows. In the physical fractal space, bio-fractal mechanics may be set up.
Zhimo Jian, Jianqiao Guo, Gang Peng, Yajun Yin   +3 more
doaj   +1 more source

Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus

Entropy, 2023
This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman, Eugenio Megías, Roman Pasechnik   +2 more
doaj   +1 more source

Fractal Variational Theory for Chaplygin-He Gas in a Microgravity Condition [PDF]

Journal of Applied and Computational Mechanics, 2021
On the microgravity condition, gravity affects the motion of objects and the flow of fluids, and the continuum assumption is not valid, therefore, a fractal Chaplygin-He gas model is developed by a new fractal derivative in microgravity space.
KangLe Wang, ShaoWen Yao
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Quantum Vacuum Energy of Self-Similar Configurations

Universe, 2021
We offer in this review a description of the vacuum energy of self-similar systems. We describe two views of setting self-similar structures and point out the main differences.
Inés Cavero-Peláez, Prachi Parashar, K. V. Shajesh   +2 more
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Fractal Pull-in Stability Theory for Microelectromechanical Systems

Frontiers in Physics, 2021
Pull-in instability was an important phenomenon in microelectromechanical systems (MEMS). In the past, MEMS were usually assumed to work in an ideal environment.
Dan Tian, Chun-Hui He, Ji-Huan He, Ji-Huan He   +3 more
doaj   +1 more source

A powerful and simple frequency formula to nonlinear fractal oscillators

Journal of Low Frequency Noise, Vibration and Active Control, 2021
In this work, a fractal nonlinear oscillator is successfully established by fractal derivative in a fractal space, and its variational principle is obtained by semi-inverse transform method.
Kang-Le Wang, Chun-Fu Wei
doaj   +1 more source