Fractal and Morphological Characteristics of Single Marble Particle Crushing in Uniaxial Compression Tests by Yidong Wang, Wenjiao Dan, Yongfu Xu, Yue Xi

“…The PSD of an assortment of rocks are analysed by fractal methods, and the fractal dimension is obtained. …”
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Mathematical Models Arising in the Fractal Forest Gap via Local Fractional Calculus by Chun-Ying Long, Yang Zhao, Hossein Jafari

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Multi-fractal-interslipface angle curves of a morphologically simulated sand dune by B. S. Daya Sagar

Subjects: “…Sand dune; Mathematical morphology; Fractal dimension; Interslipface angle.…”
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Narrowband-to-Narrowband Frequency Reconfiguration with Harmonic Suppression Using Fractal Dipole Antenna by S. A. Hamzah, M. Esa, N. N. N. A. Malik, M. K. H. Ismail

“…Harmonic suppressed fractal antenna with switches named TMFDB25 is developed to select desired frequency band from 400 MHz to 3.5 GHz. …”
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Fractal Basins of Convergence of a Seventh-Order Generalized Hénon–Heiles Potential by Euaggelos E. Zotos, Fredy L. Dubeibe, A. Riaño-Doncel

“…Furthermore, we demonstrate how the two variable parameters, entering the generalized Hénon–Heiles potential, affect the convergence dynamics of the system as well as the fractal degree of the basin diagrams. The fractal degree is derived by computing the (boundary) basin entropy as well as the uncertainty dimension.…”
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CAD Fractal Art Pattern Design and Evaluation Based on RBF Network Algorithm by Lina Liu, Danjun Zhu

“…In order to effectively solve the problems of unreasonable design and low evaluation level in the process of fractal art pattern design and evaluation, a CAD fractal art pattern design and evaluation is proposed based on RBF network algorithm. …”
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A Broadband Left-Handed Metamaterial Microstrip Antenna with Double-Fractal Layers by Roman Kubacki, Salim Lamari, Mirosław Czyżewski, Dariusz Laskowski

“…This periodic geometry is derived from fractal shapes, which have been widely used in antenna engineering. …”
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Optimal Dispatch of Reactive Power Using Modified Stochastic Fractal Search Algorithm by Thang Trung Nguyen, Dieu Ngoc Vo, Hai Van Tran, Le Van Dai

“…This paper applies a proposed modified stochastic fractal search algorithm (MSFS) for dealing with all constraints of optimal reactive power dispatch (ORPD) and finding optimal solutions for three different cases including power loss optimization, voltage deviation optimization, and L-index optimization. …”
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Modelling a Coupled Thermoelectromechanical Behaviour of Contact Elements via Fractal Surfaces by G. Mazzucco, F. Moro, M. Guarnieri

“…A micromechanical numerical model has been developed by merging together the contact theory approach, which makes use of the so-called roughness parameters obtained from experimental measurements on real contact surfaces, with the topology description of the rough surface via the theory of fractal geometry. Particularly, the variation of asperities has been evaluated via the Weierstrass-Mandelbrot function. …”
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Application of the Minkowski–Bouligand Fractal Dimension for the Differential Diagnosis of Thyroid Follicular Neoplasias by Rita C. Ferreira, Patrícia S. de Matos, Randall L. Adam, Neucimar J. Leite, Konradin Metze

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Fractal-Shaped Metamaterials and Applications to Enhanced-Performance Devices Exhibiting High Selectivity by He-Xiu Xu, Guang-Ming Wang, Chen-Xin Zhang

“…Two types of fractal-shaped CRR are involved including the Moore and Hilbert. …”
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Fabrication of CPW-Fed Fractal Antenna for UWB Applications with Omni-Directional Patterns by Tohid Sedghi, Mahdi Jalali, Tohid Aribi

“…Novel and compact CPW-fed antennas are proposed comprised of a fractal patch and modified ground-plane. The ground-plane is truncated at the center and includes dielectric notches at its side to enhance the antenna’s impedance bandwidth. …”
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A Local Fractional Integral Inequality on Fractal Space Analogous to Anderson’s Inequality by Wei Wei, H. M. Srivastava, Yunyi Zhang, Lei Wang, Peiyi Shen, Jing Zhang

“…In this paper, we establish local fractional integral analogue of Anderson's inequality on fractal space under some suitable conditions. Moreover, we also show that the local fractional integral inequality on fractal space, which we have proved in this paper, is a new generalization of the classical Anderson's inequality.…”
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Flexible Sierpinski Carpet Fractal Antenna on a Hilbert Slot Patterned Ground by Vasa Radonić, Keith Palmer, Goran Stojanović, Vesna Crnojević-Bengin

“…This paper presents a novel design of fractal antenna on a flexible substrate that operates in UMTS band (universal mobile telecommunication system, 1.92–2.17 GHz). …”
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Local Fractional Laplace Variational Iteration Method for Fractal Vehicular Traffic Flow by Yang Li, Long-Fei Wang, Sheng-Da Zeng, Yang Zhao

“…We discuss the line partial differential equations arising in fractal vehicular traffic flow. The nondifferentiable approximate solutions are obtained by using the local fractional Laplace variational iteration method, which is the coupling method of local fractional variational iteration method and Laplace transform. …”
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Modifications and Statistical Analysis of Acoustic Emission Models Based on the Damage and Fractal Characteristics by Jie Yang, Yanna Zheng, Huijing Wang

“…Damage variable expressions are proposed based on the damage and fractal characteristics firstly. Then, the statistical models for acoustic emission considering damage and fractal characteristics are established by deducing the relationship between acoustic emission parameters and load cycles and fractal dimensions. …”
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Scale Dependence of Waviness and Unevenness of Natural Rock Joints through Fractal Analysis by Yingchun Li, Shengyue Sun, Hongwei Yang

“…., waviness and unevenness through fractal parameters using the triangular prism surface area method (TPM). …”
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Local Fractional Fourier Series with Application to Wave Equation in Fractal Vibrating String by Ming-Sheng Hu, Ravi P. Agarwal, Xiao-Jun Yang

“…We introduce the wave equation in fractal vibrating string in the framework of the local fractional calculus. …”
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A Fractal Model to Interpret Porosity-Dependent Hydraulic Properties for Unsaturated Soils by Annan Zhou, Yang Fan, Wen-Chieh Cheng, Junran Zhang

“…This paper presents a simple fractal model to quantify the effects of initial porosity on the soil-water retention curve and hydraulic conductivity of unsaturated soils. …”
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Las series de tiempo fractales y un método de pronóstico by Guillermo Romero-Meléndez, Rogelio Ojeda-Suárez, Agustín Nava-Huerta, Carlos Alberto García-Valdez

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