Dynamics of the Exponential Population Growth System with Mixed Fractional Brownian Motion by Weijun Ma, Wei Liu, Quanxin Zhu, Kaibo Shi

“…First, we establish some useful lemmas that provide powerful tools for studying the stochastic differential equations with mixed fractional Brownian motion. …”
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Abundant Exact Soliton Solutions of the (2+1)-Dimensional Heisenberg Ferromagnetic Spin Chain Equation Based on the Jacobi Elliptic Function Ideas by Qinghao Zhu, Jianming Qi

“…Therefore, further studying EMVJEEM may help researchers to seek for more soliton solutions to other nonlinear differential equations.…”
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Exploring error estimates of Newton-Cotes quadrature rules across diverse function classes by Abdelghani Lakhdari, Muhammad Uzair Awan, Silvestru Sever Dragomir, Hüseyin Budak, Badreddine Meftah

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The Exact Endoscopic Effect on the Peristaltic Flow of a Nanofluid by S. M. Khaled, Abdelhalim Ebaid, Fahd Al Mutairi

“…The mathematical model is governed by a system of linear and nonlinear partial differential equations with prescribed boundary conditions. …”
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Cooperative and Competitive Dynamics Model for Information Propagation in Online Social Networks by Yaming Zhang, Chaosheng Tang, Li Weigang

“…By analyzing the differential equations, one or two stable equilibrium points can be found under certain conditions. …”
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Superconformal blocks: general theory by Ilija Burić, Volker Schomerus, Evgeny Sobko

“…The central new ingredient is a universal construction of the relevant Casimir differential equations. In order to find these equations, we model superconformal blocks as functions on the supergroup and pick a distinguished set of coordinates. …”
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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. …”
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Forced Vibration of Delaminated Timoshenko Beams under the Action of Moving Oscillatory Mass by M.H. Kargarnovin, M.T. Ahmadian, R.A. Jafari-Talookolaei

“…To solve the governing differential equations of motion using modal expansion series, eigen-solution technique is used to obtain the natural frequencies and their corresponding mode shapes necessary for forced vibration analysis. …”
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Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. by Fang Yu, Muhammad Younas Khan, Muhammad Bilal Riaz, Saif Ullah, Muhammad Farooq

“…Initially, the model includes nine nonlinear ordinary differential equations that consider viral concentration, flying fox, and human populations simultaneously. …”
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Nonlinear Vibration of a Continuum Rotor with Transverse Electromagnetic and Bearing Excitations by Haiyang Luo, Yuefang Wang

“…The governing equation of motion is derived and discretized as a group of ordinary differential equations using the Galerkin's method. The stability of the equilibrium of the rotor is analyzed with the Routh-Hurwitz criterion and the occurrence of the Andronov-Hopf bifurcation is pointed out. …”
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Dynamic Response of Shear-Flexible Cylindrical Isotropic Shells with Clamped Edges by Zafer I. Sakka, Jamal A. Abdalla, H.R.H. Kabir

“…The Sander’s kinematic relations for moderately thick cylindrical shell panels are utilized to develop the governing partial differential equations in conjunction with the boundary conditions. …”
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Qualitative Analysis of the Effect of Weeds Removal in Paddy Ecosystems in Fallow Season by Leru Zhou, Zhigang Liu, Tiejun Zhou

“…In the paper, we introduce a differential equations model of paddy ecosystems in the fallow season to study the effect of weeds removal from the paddy fields. …”
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Novel Evaluation of Fuzzy Fractional Helmholtz Equations by Meshari Alesemi, Naveed Iqbal, Noorolhuda Wyal

“…It is critical to emphasize that the purpose of the proposed fuzziness approach is to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations that arise in complex and physical structures.…”
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Investigation of Nonlinear Vibrational Analysis of Circular Sector Oscillator by Using Cascade Learning by Naveed Ahmad Khan, Muhammad Sulaiman, Jamel Seidu, Fahad Sameer Alshammari

“…This paper analyzed the model of swinging oscillation of a solid circular sector arising in hydrodynamical machines, electrical engineering, heat transfer applications, and civil engineering. Nonlinear differential equations govern the mathematical model for frequency oscillation of the system. …”
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Dynamic Analysis of Flexible Shaft and Elastic Disk Rotor System Based on the Effect of Alford Force by Wenjun Yang, Huiqun Yuan, Li Hui, Kaifeng Zhang

“…Taken the flexible shaft and elastic disk rotor system as the research object, vibration differential equations are established by the modal synthesis method. …”
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Z2×Z3 Equivariant Bifurcation in Coupled Two Neural Network Rings by Baodong Zheng, Haidong Yin

“…We discuss the spatiotemporal patterns of bifurcating periodic oscillations by using the symmetric bifurcation theory of delay differential equations combined with representation theory of Lie groups. …”
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Foundational aspects of a new matrix holomorphic structure by Hedi Khedhiri, Taher Mkademi

“…Originality/value – We give sufficient and necessary conditions in terms of Cauchy–Riemann type quaternionic differential equations for holomorphicity of a function of one complex matrix variable ξ∈HC. …”
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Numerical Solutions for Laminar Boundary Layer Nanofluid Flow along with a Moving Cylinder with Heat Generation, Thermal Radiation, and Slip Parameter by Titilayo Morenike Agbaje, Gilbert Makanda

“…The fluid mathematical model developed from the Navier-Stokes equations resulted in a system of partial differential equations which were then solved by the multidomain bivariate spectral quasilinearization method (MD-BSQLM). …”
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Flap/Lag Stall Flutter Control of Large-Scale Wind Turbine Blade Based on Robust H2 Controller by Tingrui Liu, Wei Xu

“…The aeroelastic partial differential equations are reduced by Galerkin method, with the aerodynamic forces decomposed by strip theory. …”
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Novel Analysis of Fuzzy Fractional Klein-Gordon Model via Semianalytical Method by Mohammad Alshammari, Wael W. Mohammed, Mohammed Yar

“…It is crucial to emphasize that the suggested fuzziness method is intended to demonstrate the efficiency and superiority of numerical solutions to nonlinear fractional fuzzy partial differential equations found in complex and physical structures.…”
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