An Approximate Analytical View of Fractional Physical Models in the Frame of the Caputo Operator by Mashael M. AlBaidani, Abdul Hamid Ganie, Adnan Khan, Fahad Aljuaydi

“…The physical issue is modeled using the Caputo derivative. Adomian and homotopy polynomials facilitate the handling of the nonlinear term. …”
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A fault calculation method for large-scale photovoltaic integrated transmission systems by Hongyue Ma, Tao Zheng, Tao Zhang, Zhiguo Hao

“…The fault calculation method has not yet been generalized for the transmission system of large-scale new energy resource integration due to the multivariable coupling and nonlinear characteristics present during faults. To address this issue, this paper proposes a fault calculation method specifically designed for large-scale photovoltaic (PV) integrated transmission systems. …”
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A Sparse Feature-Based Mixed Signal Frequencies Detecting for Unmanned Aerial Vehicle Communications by Yang Wang, Yongxin Feng, Fan Zhou, Xi Chen, Jian Wang, Peiying Zhang

“…How to effectively improve the detection accuracy of each frequency component in the electromagnetic space mixed signals and avoid spectrum conflicts will become one of the crucial issues currently faced by unmanned aerial vehicle (UAV) communication technologies. …”
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Structural Performance of Reinforced Concrete Beams with Steel Fibres as Secondary Reinforcement: Experimental and Pre-peak Numerical Modelling by Hadjer Belkadi, Abdelkrim Bourzam, Messaoud Saidani

“…Nonlinear finite element analysis was performed to predict pre-peak load versus mid-span deflection and crack propagation. …”
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Electrical Equivalent Circuit Parameter Estimation of Commercial Induction Machines Using an Enhanced Grey Wolf Optimization Algorithm by Premkumar Manoharan, Sowmya Ravichandran, Jagarapu S. V. Siva Kumar, Mustafa Abdullah, Tan Ching Sin, Tengku Juhana Tengku Hashim

“…The AWGWO incorporates an adaptive weight mechanism that dynamically adjusts the exploration and exploitation balance, effectively mitigating issues such as premature convergence to local optima. …”
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A Q-Learning Crested Porcupine Optimizer for Adaptive UAV Path Planning by Jiandong Liu, Yuejun He, Bing Shen, Jing Wang, Penggang Wang, Guoqing Zhang, Xiang Zhuang, Ran Chen, Wei Luo

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Formation control method for multiple flight vehicles based on adaptive dynamic programming by Jie XIAO, Qingpu TANG, Jiale LI, Guofei LI

“…However, controlling such systems poses considerable challenges because of their nonlinear dynamics, environmental interference, and uncertainties in system models. …”
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A Distance-Based Maximum Likelihood Estimation Method for Sensor Localization in Wireless Sensor Networks by Jing Xu, Jingsha He, Yuqiang Zhang, Fei Xu, Fangbo Cai

“…The proposed distance-based MLE is formulated as a complicated nonlinear optimization problem. An exact solution is developed based on first-order optimal condition to improve the efficiency of search. …”
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Design of Fractional–PID Controller Based on Grey Wolf Optimization for Robotic Manipulator by Ahmed A. Oglah, Mohammed S. Saleh, Abidaoun H. Shallal

“…The suggested method is systematic and draws on principles of stabilizing joint control from well-known nonlinear dynamics. In the final step, the simulation results were acceptable and compared with several control strategies. …”
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Modeling and verification of an improved contact force in multibody systems by Wenhui Chen, Xupeng Wang, Yang Liu, Yimo Han, Yicheng He

“…To more accurately describe common collision phenomena and their impact on the dynamic characteristics of multibody systems, this paper introduces a contact force model with improved nonlinear stiffness and damping coefficients. This model is based on Hertz theory and considering the relationship between indentation and velocity during the collision process by incorporating a nonlinear index factor, m . …”
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Design of Ice Tolerance Flight Envelope Protection Control System for UAV Based on LSTM Neural Network for Detecting Icing Severity by Ting Yue, Xianlong Wang, Bo Wang, Shang Tai, Hailiang Liu, Lixin Wang, Feihong Jiang

“…Finally, the ice tolerance flight envelope protection control law is developed, using a nonlinear dynamic inverse controller (NDIC) as the inner loop and a nonlinear model predictive controller (NMPC) as the outer loop. …”
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Application of dynamic systems modeling approach to rank optimal urban waste management strategies using SWOT method by Hamid Shahbandarzadeh, Mohammad Hossein Kabgani

“…In the next step, Mikhailov's nonlinear method was used to rank the four strategies. …”
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Sensor Fault Detection and Identification in an Electro-pump System using Extended Kalman Filter by Monir Rezaee, Nargess Sadeghzadeh Nokhobberiz, Javad Poshtan

“…They are not detectable but can be combined with other sensors. To solve this issue, firstly, a state space model for pump subsystem was constructed using the electrical simulation method. …”
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Novel Physics-Informed Artificial Neural Network Architectures for System and Input Identification of Structural Dynamics PDEs by Sarvin Moradi, Burak Duran, Saeed Eftekhar Azam, Massood Mofid

“…When compared with traditional Artificial Neural Networks (ANNs), this approach requires substantially smaller training data and does not suffer from generalizability issues. In this regard, the states, inputs, and parameters of dynamic state-space equations of motion were estimated using simulated experiments with “noisy” data. …”
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A Novel Logarithmic Approach to General Relativistic Hydrodynamics in Dynamical Spacetimes by Mario Imbrogno, Rita Megale, Luca Del Zanna, Sergio Servidio

“…A key innovation of our work is the logarithmic transformation applied to critical variables such as rest-mass density, energy density, and pressure, thus preserving physical positivity and mitigating numerical issues associated with extreme variations. Our formulation is fully compatible with advanced numerical techniques, including spectral methods and Fourier-based algorithms, and it is particularly suited for simulating highly nonlinear regimes in which gravitational fields play a significant role. …”
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Slip Effect on EMHD Tri-Hybrid Non-Newtonian Nanofluid Flow over a Porous Stretching-Slendering Sheet by Galal Moatimid, Hamed Sayed

“…Numerical simulations are performed for several physical parameter values, and the influences of numerous distributions are examined. …”
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Few-Shot Flood Water Level Prediction Based on Mechanistic Models and Deep Learning: A Collaborative HEC-RAS-LSTM Framework by Li Faxian, Lv Mou, Li Hang

“…High-quality hydrological data are generated through HEC-RAS to address the issue of missing observed data. And the simulation data are used to drive a neural network model (LSTM) for flood water level prediction. …”
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Designing the sinc neural networks to solve the fractional optimal control problem by R. Heydari Dastjerdi, G. Ahmadi

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Applied Mechatronics: Designing a Sliding Mode Controller for Active Suspension System by Aydin Azizi, Hamed Mobki

“…It is noteworthy that this controller has a significant ability to overcome the stochastic effects, uncertainty, and deal with nonlinear factors. To design a controller, the governing dynamical equation of the quarter-car system has been presented by considering the nonlinear terms in the springs and shock absorber, as well as taking into account the uncertainty factors in the system and the actuator. …”
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Hybrid Structural Reliability Analysis under Multisource Uncertainties Based on Universal Grey Numbers by Xingfa Yang, Jie Liu, Xiaoyue Chen, Qixiang Qing, Guilin Wen

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