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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Embedding a Signature in an Image Based on Fractal Compress Transformations by Cao Hanqiang Zhu Guangxi Zhu Yaoting Zhang Zhengbing (Huazhong University of Science and Technology, Wuhan 430074)

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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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Nambu–Jona-Lasinio model with a fractal inspired coupling by E. Megías, M.J. Teixeira, V.S. Timóteo, A. Deppman

“…An important novelty of this work is the physical explanation, in terms of the fractal QCD vacuum, for a running coupling that renormalizes the quark condensate.…”
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Fault Diagnosis of Gearbox based on Multi-fractal and PSO-SVM by Li Sha, Pan Hongxia, Zhang Jundong, Zhao Weiwei

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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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STUDY ON CONTACT STRESS OF BEVELOID GEAR BASED ON FRACTAL THEORY by LIU YongPing, WEI Shuai, DONG ChangBin, WEI YongQiao, REN ZhongTao, LI ZeYu

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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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On the decay of strength in Guilin red clay with cracks by Yi Li, Keneng Zhang, Baochen Liu, Zongyuan Pan

Subjects: “…Fractal dimension…”
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FRACTAL THEORETICAL MODEL OF NORMAL CONTACT STIFFNESS OF MECHANICAL JOINT INTERFACES by WANG YanHui, ZHANG XueLiang, WEN ShuHua, CHEN YongHui, LAN GuoSheng

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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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Fractales y referencialidad en La carne de Rosa Montero by Cristina Mondragón

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Global efficiency estimation method of complex network based on fractal property by Sheng ZHANG, Weikai DAI, Feng WU, Wenxiang LAN

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Authentication-based double images fractal watermarking model of vector maps by SUN Jian-guo1, MEN Chao-guang1, MA Chun-guang1, LI Cheng-ming2

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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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