Study of a Fractal-Fractional Smoking Models with Relapse and Harmonic Mean Type Incidence Rate by Zareen A. Khan, Mati ur Rahman, Kamal Shah

“…This manuscript investigates fractal-fractional order smoking models with relapse and harmonic mean type incidence rate under the Caputo derivative. …”
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A New Fractal-Based Miniaturized Dual Band Patch Antenna for RF Energy Harvesting by Sika Shrestha, Seong Ro Lee, Dong-You Choi

“…In this work, a miniaturized dual band antenna operable at 2.45 and 5.8 GHz is constructed by modifying the standard microstrip patch antenna geometry into a fractal structure. In addition to miniaturization and dual band nature, the proposed antenna also removes unwanted harmonics without the use of additional filter component. …”
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Phase separation of a microtubule plus-end tracking protein into a fluid fractal network by Mateusz P. Czub, Federico Uliana, Tarik Grubić, Celestino Padeste, Kathryn A. Rosowski, Charlotta Lorenz, Eric R. Dufresne, Andreas Menzel, Ioannis Vakonakis, Urs Gasser, Michel O. Steinmetz

“…Unlike classical liquids, Bik1 condensates exhibit a heterogeneous, fractal supramolecular structure with protein- and solvent-rich regions. …”
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A fractal–fractional order modeling approach to understanding stem cell-chemotherapy combinations for cancer by Esam Y. Salah, Bhausaheb Sontakke, Ahmed A. Hamoud, Homan. Emadifar, Atul Kumar

“…We study the model using the fractal fractional derivative with the Mittag-Leffler kernel. …”
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Fractal Analysis of Microscale and Nanoscale Pore Structures in Carbonates Using High-Pressure Mercury Intrusion by Fuyong Wang, Peiqing Lian, Liang Jiao, Zhichao Liu, Jiuyu Zhao, Jian Gao

“…This paper investigated fractal characteristics of microscale and nanoscale pore structures in carbonates using High-Pressure Mercury Intrusion (HPMI). …”
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Laboratory-Scale Insight into Fractal Dimension Indicators for Seismic Hazard Assessment Associated with Rock Failures by Wu Cai

“…In this methodology, the fractal dimension indices include six information dimension indices as well as three previously used capacity dimension indices. …”
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Acoustic Emission and Fractal Precursory Characteristics of Coals with Different Bursting Liabilities in Loading Failure Process by Chao Wang, Yuefeng Li, Yong Li, Jianhui Xu, Chengliang Zhang

“…The AE counts of different coals had obvious fractal characteristics, and the AE correlation dimension values of strong and weak bursting liability coal samples presented the phenomenon of “fluctuating rise to a peak value-sharp drop-continuous decrease,” which can be used as a precursory information of coal failure.…”
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Um Estudo Das Sequências Derivadas De Fibonacci Vinculado Ao Fractal De Barnsley by Renata Passos Machado Vieira, Milena Carolina dos Santos Mangueira, Francisco Regis Vieira Alves, Paula Maria Machado Cruz Catarino

Subjects: “…Fractal de Barnsley…”
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Estimation of the Resistivity Index via Nuclear Magnetic Resonance Log Data Based on Fractal Theory by Cheng Feng, Chuang Han, Wenxing Duan, Wei Wang, Yuntao Zhong, Ziyan Feng, Ning Zhang

“…Firstly, a novel model of estimating the resistivity index with T2 time was derived based on fractal theory, the relationship between nuclear magnetic resonance (NMR) T2 spectrum and capillary pressure curve (T2-Pc), and Archie formula. …”
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The Fractal Dimension of Nuclear Chromatin as a Prognostic Factor in Acute Precursor B Lymphoblastic Leukemia by Randall L. Adam, Rosana C. Silva, Fernanda G. Pereira, Neucimar J. Leite, Irene Lorand-Metze, Konradin Metze

“…The fractal nature of the DNA arrangement has been postulated to be a common feature of all cell nuclei. …”
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The Effect of Morphological Characteristic of Coarse Aggregates Measured with Fractal Dimension on Asphalt Mixture’s High-Temperature Performance by Hainian Wang, Yin Bu, Yanzhe Wang, Xu Yang, Zhanping You

“…Good linear correlations between the fractal dimension and high-temperature indexes were obtained for all three types of mixtures. …”
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Book review: Armin Bunde and Shlomo Havlin, (Fractals and disordered systems). second revised and enlarged edition by T. Gregory Dewey

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Modal Analysis for a Rod-Fastened Rotor considering Contact Effect Based on Double Fractal Model by Yang Liu, Qi Yuan, Pu Li, Guangyu Zhu

“…The measured contour curve of the contact interfaces of an experimental rod-fastened rotor is analyzed by the structural function method, which shows that the contact interfaces can be well described by the double fractal model with fractal dimensions D1 and D2 and the fractal roughness parameters G1 and G2. …”
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A Note on the Fractal Behavior of Hydraulic Conductivity and Effective Porosity for Experimental Values in a Confined Aquifer by Samuele De Bartolo, Carmine Fallico, Massimo Veltri

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Inscribed Fibonacci Circle Fractal in a Circular Radiator for Ultra-Wideband Antenna Operation and Size Reduction by J. A. Tirado-Mendez, D. Martinez-Lara, H. Jardon-Aguilar, R. Flores-Leal, E. A. Andrade-Gonzalez

“…In this article, a Fibonacci circle fractal is inscribed into a circular radiator in order to provide ultra-wideband behavior as well as a 50% size reduction compared to a conventional circular monopole. …”
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ABC Fractional Derivative for Varicella-Zoster Virus Using Two-Scale Fractal Dimension Approach with Vaccination by Jirong Yang, Farkhanda Afzal, Perpetual Appiah

“…The possibility of using the fractal dimension as a biomarker to identify different diseases is being investigated. …”
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Corrigendum to “Investigation of Stereometric and Fractal Patterns of Spin-Coated LuMnO3 Thin Films” by Igor Hernandes Gomes Marques, Robert Saraiva Matos, Yonny Romaguera-Barcelay, Ştefan Ţălu, J. Agostinho Moreira, Abilio Almeida, Javier Perez de Cruz, Henrique Duarte da Fonseca Filho

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Study of Void Probability Scaling of Singly Charged Particles Produced in Ultrarelativistic Nuclear Collision in Fractal Scenario by Susmita Bhaduri, Dipak Ghosh

“…We study the fractality of void probability distribution measured in S32-Ag/Br interaction at an incident energy of 200 GeV per nucleon. …”
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A Low-Pass Filter of Wide Stopband with a Novel Multilayer Fractal Photonic Bandgap Structure by Hai-Wen Liu, Xiao-Wei Sun, Zheng-Fan Li

“…A novel, multilayer fractal PBG is presented here as the substrate for a microstrip line and the resulting configuration builds a low-pass filter of wide stopband. …”
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Multicrack Localization in Rotors Based on Proper Orthogonal Decomposition Using Fractal Dimension and Gapped Smoothing Method by Zhiwen Lu, Dawei Dong, Shancheng Cao, Huajiang Ouyang, Chunrong Hua

“…Instead of using the CPOM directly, due to its difficulty to localize incipient cracks, damage indexes using fractal dimension (FD) and gapped smoothing method (GSM) are adopted, in order to extract the locations more efficiently. …”
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