Model-Based Design, HIL Testing, and Rapid Control Prototyping of a Low-Cost POC Quadcopter with Stability Analysis and Control by Abdullah Irfan, Muhammad Gufran Khan, Arslan Ahmed Amin, Syed Ali Mohsin, Muhammad Adnan, Adil Zulfiqar

“…This paper addresses this issue and presents a novel proof of concept (POC) low-cost quadcopter UAV design approach using a systematic Model-Based Design (MBD) method for mathematical modeling, simulation, real-time testing, and prototyping. …”
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Rub-Impact Force Induces Periodic, Quasiperiodic, and Chaotic Motions of a Controlled Asymmetric Rotor System by N. A. Saeed, Emad Mahrous Awwad, Ali Maarouf, Hassan M. H. Farh, Fahd A. Alturki, Jan Awrejcewicz

“…The equations of motion that govern the whole system dynamics are derived including the rub and impact forces. The derived mathematical model is analyzed in two basic steps. Firstly, the obtained model is treated as a weakly nonlinear system using perturbation analysis to obtain the slow-flow modulating equations when neglecting the rub and impact forces. …”
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Active Fault-Tolerant Control Based on the Fault of Electromagnetic Hybrid Active Suspension by Farong Kou, Jianghao Wu, Jian Gao, Dapeng Wu, Ruochen Chen

“…The 1/4 vehicle two-degree-of freedom suspension model, the linear motor mathematical model, and the solenoid valve shock absorber test model are established. …”
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Multi-Objective Optimization for Green BTS Site Selection in Telecommunication Networks Using NSGA-II and MOPSO by Salar Babaei, Mehran Khalaj, Mehdi Keramatpour, Ramin Enayati

“…After presenting the mathematical model, validation was performed on a small scale, followed by sensitivity analysis of the main parameters of the model. …”
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Cloud Platform Selection Model in the Framework of Differential Quality Game With Fuzzy Information by Kaiyrbek Makulov, Arkadii A. Chikrii, Valery Lakhno, Bagdat Yagaliyeva, Volodimir Malyukov, Inna Malyukova, Miroslav Lakhno

“…The paper presents a mathematical model integrated into the computational core of a decision support system (DSS) for the selection of cloud platforms under conditions of fuzzy information. …”
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Study on Temperature Rise Characteristics of Grease Lubricated Thrust Angular Contact Ball Bearings Under Complex Working Conditions by Shijie Wang, Pengchang Jiang, Feng Liu, Guixiu Luo, Zhanli Zhang

“…The temperature rise characteristics of the grease lubricated thrust angular contact ball bearings under complex working conditions are studied； a mathematical model of friction heating rate of thrust angular contact ball bearings is established； based on heat transfer theory， the heat transfer mode of spindle-bearing-bearing block system is analyzed， the temperature rise model of bearing is established and the rationality of the model is verified by experiments. …”
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Ontologies in bioinformatics and systems biology by N. L. Podkolodnyy, O. A. Podkolodnaya

“…Ontological modeling is used to develop formats for knowledge-oriented mathematical modeling of biological systems. In this sense, ontology associated with the entire set of formats, supporting research in systems biology, in particular, computer modeling of biological systems and processes can be regarded as a first approximation to the ontology of systems biology. …”
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New Difference Sequence Spaces Defined by Musielak-Orlicz Function by M. Mursaleen, Sunil K. Sharma, S. A. Mohiuddine, A. Kılıçman

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Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications by Maria Gandarias, Mariano Torrisi, Maria Bruzón, Rita Tracinà, Chaudry Masood Khalique

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The spacewise dependent source identification problem for the elliptic-telegraph differential equation with involution and Robin condition by Allaberen Ashyralyev, Ahmad Al-Hammouri

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On Semi-c-Periodic Functions by M. T. Khalladi, M. Kostić, M. Pinto, A. Rahmani, D. Velinov

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Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations by C. Ünlü, H. Jafari, D. Baleanu

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Computational Modelling of Thermal Stability in a Reactive Slab with Reactant Consumption by O. D. Makinde

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Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp-Function Methods by Hossein Jafari, Nematollah Kadkhoda, Chaudry Masood Khalique

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Properties in Stage-Structured Population Models with Deterministic and Stochastic Resource Growth by Tin Nwe Aye, Linus Carlsson

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Symmetry Reductions, Exact Solutions, and Conservation Laws of a Modified Hunter-Saxton Equation by Andrew Gratien Johnpillai, Chaudry Masood Khalique

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Numerical Simulation Study on Influence of Riverbed Changes on Saltwater Intrusion in Northwest River Delta by JIN Gaoyang, ZHU Sanhua, CAO Yihao

“…To study the changes in the riverbed of the Northwest River Delta and their relationship with saltwater intrusion,this paper builds a one-dimensional unsteady flow chlorine concentration mathematical model based on the collection and organization of previous research results,hydrological,meteorological,and river terrain data.The hydrodynamic and chlorine concentration verification results meet the relevant regulatory requirements and can be applied to calculate and analyze the impact of riverbed changes on saltwater intrusion.The research results are as follows.① From 1999 to 2016, the riverbed of the Northwest River Delta network was in an uneven downward cutting state,and the volume of the river continued to increase,resulting in a decrease in the resistance of the estuary to rising and falling tides.The upward tracing of high saltwater masses along the estuary was simpler,and the upward tracing of salt tides became increasingly severe.② The rising tide at each Koumen station increases,and the probability of removing freshwater from the saltwater boundary decreases.Under different inflow conditions in Sixianjiao,the average upward movement of the saltwater boundary at Modaomen Waterway is 3 735 m,and the average downward movement of the freshwater from Pinggang Pumping Station is 5.33%.The average upward movement of the saltwater boundary at Shawan Waterway is 2 369 m,and the average downward movement of the freshwater from Shawan No.1 Water Plant is 5.14%.These seriously affect the ecosystem and normal water intake demand in the estuarine area.The research results can provide basic support for the research and engineering design of water supply safety measures in the Northwest River Delta and estuarine areas.…”
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Designing and planning a bioethanol supply chain network under uncertainty using a data-driven robust optimization model under disjunctive uncertainty sets by Farzaneh MansooriMooseloo, Maghsoud Amiri, Mohammad Taghi Taghavi Fard, Mostafa Hajiaghaei-Keshteli

“…Therefore, the aim of this study is to design and optimize the biomass-to-bioethanol supply chain network using data-driven robust optimization methods and disjunctive uncertainty sets.Methodology: The methodology of this study is a multi-methodology approach based on mathematical modeling and machine learning algorithms. Initially, uncertainty sets for the non-deterministic model parameter were created using K-means and SVC methods. …”
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Development of an Innovative Magnetorheological Gearbox for Positioning Control and Anti-Disturbance of a Robotic Arm by Yuyang Zhang, Shuaishuai Sun, Lei Deng, Guorui Wang, Rui Yu, Weihua Li, Xinglong Gong, Shiwu Zhang, Haiping Du, Jian Yang

“…The classic Bouc–Wen model was used to describe the MR gearbox and then a mathematical model was established for the whole robotic arm. …”
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Functional Epithelium Remodeling in Response to Applied Stress under In Vitro Conditions by Ivana Pajic-Lijakovic, Milan Milivojevic

“…Mathematical modeling is often used in tissue engineering in order to overcome one of its major challenges: transformation of complex biological and rheological behaviors of cells and tissue in a mathematically predictive and physically manipulative engineering process. …”
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