A Population-Based Optimization Method Using Newton Fractal by Soyeong Jeong, Pilwon Kim

“…The particles’ movements are influenced by the fractal nature of the Newton method and are greatly diversified in the approach to the temporal best optimums. …”
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Fractal analysis and microstructure development PVDF based multifunctional material by Peleš-Tadić Adriana, Vuković George, Kojović Aleksandar, Stojanović Dušica, Vlahović Branislav, Obradović Nina, Pavlović Vladimir

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Swelling Characteristics of Fractal-Textured Bentonite Eroded by Alkaline Solution by Guosheng Xiang, Weimin Ye, Zhijie Hu, Lei Ge, Yinkang Zhou

“…The e-pe fitting relation of the experimental data depicts that the dissolution of Mt. minerals in alkaline solution reduces the swelling coefficient κ, however, it increases the surface fractal dimension (Ds).…”
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Generalized Convex Functions on Fractal Sets and Two Related Inequalities by Huixia Mo, Xin Sui, Dongyan Yu

“…We introduce the generalized convex function on fractal sets Rα  (0<α≤1) of real line numbers and study the properties of the generalized convex function. …”
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On the 5G Communications: Fractal-Shaped Antennas for PPDR Applications by Mihai-Virgil Nichita, Maria-Alexandra Paun, Vladimir-Alexandru Paun, Viorel-Puiu Paun

“…In this study, one method of using antennas based on fractals to cover few kinds of public protection and disaster relief (PPDR) communications was presented. …”
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Morphometric relations of fractal-skeletal based channel network model by B. S. Daya Sagar, Charles Omoregie, B. S. Prakasa Rao

Subjects: “…Fractal…”
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A Wideband Hybrid Fractal Ring Antenna for WLAN Applications by Atif Jamil, Muhammad Rauf, Abdul Sami, Arsalan Ansari, Muhammad Dawood Idrees

“…We propose the design of a novel fractal antenna that is both unique and performance-driven. …”
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space by Guang-Sheng Chen

“…By using it, some related results on the generalized integral inequality in fractal space are investigated in detail.…”
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Impacts of Pore-Throat System on Fractal Characterization of Tight Sandstones by Dengke Liu, Zhaolin Gu, Ruixiang Liang, Junwei Su, Dazhong Ren, Bin Chen, Chuanqing Huang, Chao Yang

“…Hence, toward this end, we analyze the experimental data that are indicative of the pore-throat system, then we investigate the effect of fractal dimensions of pore-throat structures on petrologic and physical properties, and finally, the optical observations, fractal theory, and prediction model were integrated to explore the qualities of various reservoir types in tight sandstones. …”
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Fractional integral approach on nonlinear fractal function and its application by C. Kavitha, A. Gowrisankar

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Fractal Derivative Model for Air Permeability in Hierarchic Porous Media by Jie Fan, Jihuan He

“…Air permeability in hierarchic porous media does not obey Fick's equation or its modification because fractal objects have well-defined geometric properties, which are discrete and discontinuous. …”
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Quantifying Fractal Dimension in Integrated Experimental Data of Tight Sandstones by Dazhong Ren, Rongxi Li, Dengke Liu, Yuhong Li, Na Liu, Fu Yang

“…In this research, we report a new criterion for pore structure typing based on the fractal geometry theory. The fractal dimension values were first accurately calculated through intrusion and nonintrusion methods. …”
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State Identification of ECS Turbine Bearing Based on Fractal Dimension by Chenchen Li, Qingpeng Han, Rui Zhu, Qingyu Zhu

“…According to nonlinear characteristics of vibration signals measured on the turbine used in the aircraft environment control system (ECS), the ensemble empirical mode decomposition (EEMD) together with fractal dimension analysis is investigated in the paper to extract characteristic quantities for the goal of fault diagnosis of turbine bearings. …”
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Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model by Yuqian Deng, Xiuxiong Liu, Yongping Zhang

“…Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. …”
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Improved Newton Iterative Algorithm for Fractal Art Graphic Design by Huijuan Chen, Xintao Zheng

“…Fractal art graphics are the product of the fusion of mathematics and art, relying on the computing power of a computer to iteratively calculate mathematical formulas and present the results in a graphical rendering. …”
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Analysis of Dynamic Damage Fractal and Energy Consumption Characteristics of Dolomite Marble by Ting Zuo, Zehu Zhao, Jianguo Wang, Xianglong Li, Zihao Tao, Changhui Yang

“…The dynamic compressive strength, damage morphology, fractal fragmentation, and energy dissipation of the rock were analyzed. …”
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A Design of Fractal Hilbert MIMO Antenna for 5G Mobile by Noora Rafid Kamil, Ahmed Ghanim Waddy, Aseel Hameed AL-Nakkash

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Study on the Fractal Characteristics of the Pomegranate Biotite Schist under Impact Loading by Jianguo Wang, Ting Zuo, Xianglong Li, Zihao Tao, Jun Ma

“…In order to study the fractal characteristics of the pomegranate biotite schist under the effect of blasting loads, a one-dimensional SHPB impact test was carried out to test the dynamic compressive strength, damage morphology, fracture energy dissipation density, and other parameters of the rocks under different strain rates; besides, sieve tests were conducted to count the mass fractal characteristics of the crushed masses under different strain rates to calculate the fractal dimension of the crushed rock D. …”
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The Smoothness of Fractal Interpolation Functions on ℝ and on p-Series Local Fields by Jing Li, Weiyi Su

“…Finally, a comparison between the fractal interpolation functions defined on ℝ and Kp is given.…”
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Fractional Calculus of Fractal Interpolation Function on [0,b](b>0) by XueZai Pan

“…The paper researches the continuity of fractal interpolation function’s fractional order integral on [0,+∞) and judges whether fractional order integral of fractal interpolation function is still a fractal interpolation function on [0,b](b>0) or not. …”
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