On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions by Wafa Shammakh, Hadeel Z. Alzumi, Bushra A. AlQahtani

“…The existence results for inclusion case are also discussed. The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point. …”
Get full text

Double Periodic Wave Solutions of the (2 + 1)-Dimensional Sawada-Kotera Equation by Zhonglong Zhao, Yufeng Zhang, Tiecheng Xia

“…Based on a general Riemann theta function and Hirota’s bilinear forms, we devise a straightforward way to explicitly construct double periodic wave solution of (2+1)-dimensional nonlinear partial differential equation. The resulting theory is applied to the (2+1)-dimensional Sawada-Kotera equation, thereby yielding its double periodic wave solutions. …”
Get full text

Analysis of a Chaotic Memristor Based Oscillator by F. Setoudeh, A. Khaki Sedigh, M. Dousti

“…Sensitivity to initial conditions is studied by considering a nonlinear model of the system, and also a new chaos analysis methodology based on the energy distribution is presented using the Discrete Wavelet Transform (DWT). …”
Get full text

A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation by Xi-Xiang Xu, Meng Xu

“…Based on the gauge transformation between the Lax pair, a Darboux-Bäcklund transformation of the first nonlinear different-difference equation in obtained family is deduced. …”
Get full text

Locating real eigenvalues of a spectral problem in fluid-solid type structures by Heinrich Voss

“…Exploiting minmax characterizations for nonlinear and nonoverdamped eigenvalue problems, we prove the existence of a countable set of eigenvalues converging to ∞ and inclusion theorems for a rational spectral problem governing mechanical vibrations of a tube bundle immersed in an incompressible viscous fluid. …”
Get full text

Rapid Methods for Transfer Function Coefficient Determination of Boiler Superheater Sections under Various Loads by G. T. Kulakov, Yu. V. Makosko, M. L. Korzoun, А. A. Salej

“…The rapid methods make it possible to obtain analytical nonlinear dependences pertaining to changes of superheater transfer function parameters through the channel of regulatory impact, that provides parameter optimization of the dynamic knob injection adjustment throughout the whole range of power block load changes.…”
Get full text

Numerical and analytical approach to the Chandrasekhar quadratic functional integral equation using Picard and Adomian decomposition methods by Eman A. A. Ziada, Hind Hashem, Asma Al-Jaser, Osama Moaaz, Monica Botros

“…This research aimed to find numerical solutions to a type of nonlinear initial value problem (IVP) for hybrid fractional differential equations. …”
Get full text

Synthesis of Multicriteria Controller by Means of Fuzzy Logic Approach by Andrew Lozynskyy, Lyubomyr Demkiv

“…For fuzzification process, classical both linear and nonlinear membership functions are used. To find optimal values of membership function’s parameters, genetic algorithm is used. …”
Get full text

Travelling wave solutions for higher-order wave equations of KDV type (III) by Jibin Li, Weigou Rui, Yao Long, Bin He

“…By using the theory of planar dynamical systems to the travellingwave equation of a higher order nonlinear wave equations of KdV type, theexistence of smooth solitary wave, kink wave and anti-kink wave solutions anduncountably infinite many smooth and non-smooth periodic wave solutions areproved. …”
Get full text

Approximate Solution of Tuberculosis Disease Population Dynamics Model by Abdon Atangana, Necdet Bildik

“…We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. …”
Get full text

Two-Stage Optimization Method for the Bearing Layout of Isolated Structure by Yu Dang, GenXiong Zhao, HongTu Tian, Guobao Li

“…Design of seismic isolated building is often a highly iterative and tedious process due to the nonlinear behavior of the system, a large range of design parameters, and uncertainty of ground motions. …”
Get full text

Robust Position Control of VTOL UAVs Using a Linear Quadratic Rate-Varying Integral Tracker: Design and Validation by Omer Saleem, Muhammad Kazim, Jamshed Iqbal

“…This article presents an optimal tracking controller retrofitted with a nonlinear adaptive integral compensator, specifically designed to ensure robust and accurate positioning of Vertical Take-Off and Landing (VTOL) Unmanned Aerial Vehicles (UAVs) that utilize contra-rotating motorized propellers for differential thrust generation. …”
Get full text

Use of Artificial Neural Networks and Multiple Linear Regression Model for the Prediction of Dissolved Oxygen in Rivers: Case Study of Hydrographic Basin of River Nyando, Kenya by Yashon O. Ouma, Clinton O. Okuku, Evalyne N. Njau

“…The process of predicting water quality over a catchment area is complex due to the inherently nonlinear interactions between the water quality parameters and their temporal and spatial variability. …”
Get full text

Evaluation of Soil Quality in Arid Western Fringes of the Nile Delta for Sustainable Agriculture by Ahmed M. Saleh, Mohamed M. Elsharkawy, Mohamed A. E. AbdelRahman, Sayed M. Arafat

“…Three quality index models are included: the Additive Soil Quality Index (SQI-A), the Weighted Additive Soil Quality Index (SQI-W), and the Nemoro Soil Quality Index (SQI-N). Linear and nonlinear scoring functions are evaluated for scoring soil and terrain indicators. …”
Get full text

Investigation of Stochastic Seismic Response and Index Correlation of an Arch Dam Using Endurance Time Analysis Method by Qiang Xu, Shutong Xu, Jianyun Chen, Jing Li

“…Seismic response assessment of a concrete arch dam is conducted through nonlinear endurance time analysis (ETA) of a typical arch dam. …”
Get full text

ESO-Based Non-Singular Terminal Filtered Integral Sliding Mode Backstepping Control for Unmanned Surface Vessels by Jianping Yuan, Zhuohui Chai, Qingdong Chen, Zhihui Dong, Lei Wan

“…Aiming at the control challenges faced by unmanned surface vessels (USVs) in complex environments, such as nonlinearities, parameter uncertainties, and environmental perturbations, we propose a non-singular terminal integral sliding mode control strategy based on an extended state observer (ESO). …”
Get full text

Rethinking the measurements and predictors of environmental degradation in Ethiopia: Predicting long-term impacts using a kernel-based machine learning approach by Tesfaye Etensa, Tekie Alemu, Mengesha Yayo

“…The relationships among these predictors are complex, often nonlinear, non-additive, and include reverse causality, making it difficult for traditional econometric models to capture them. …”
Get full text

Testing the Strength of Chaotic Systems as Seeds in a Pseudo Random Bit Generator by Lazaros Moysis, Marcin Lawnik, Christos Volos, Murilo S. Baptista, Sotirios K. Goudos, George F. Fragulis

“…First, the structure of the bit generator’s nonlinear hash is studied. Then, using a collection of different maps, the generator is evaluated with respect to randomness, key space size, operations per bit ratio, and execution speed. …”
Get full text

Hybrid optimization of EDLP and high-low pricing strategies by Hamed Karimi

“…To enhance the model's practical applicability, particularly in small-scale scenarios, the nonlinear problem is transformed into a Mixed-Integer Programming (MIP) model, facilitating its solvability. …”
Get full text

Controlling Underwater Robots with Electronic Nervous Systems by Joseph Ayers, Nikolai Rulkov, Dan Knudsen, Yong-Bin Kim, Alexander Volkovskii, Allen Selverston

Get full text