The Time–Fractional Wave Equation with Variable Coefficients by Chenkuan Li

“…In this paper, we primarily use the inverse operator method to find a unique series solution to a time–fractional wave equation with variable coefficients based on the Mittag–Leffler function. …”
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Maximum modulus of entire functions of two variables and arguments of coefficients of double power series by O. B. Skaskiv, A. O. Kuryliak

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Holmgren problem for Helmholtz equation with the three singular coefficients by Davlatjon R. Muydinjanov

Subjects: “…lauricella hypergeometric function in three variables…”
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Estimation the Variogram Function Indicator which represent the Transmissivity Coefficient in the groundwater by Seerwan Sulieman Noon

“…This methods is well known in regression analysis in estimating the coefficient of ression model. After defining the indicator variable the parameters of Indicator variogram estimated based on mean squares error. …”
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Remarks on a New Variable-Coefficient Integro-Differential Equation via Inverse Operators by Chenkuan Li, Nate Fingas, Ying Ying Ou

“…We further explore the existence, uniqueness, and stability of solutions to a new integro-differential equation featuring variable coefficients and a functional boundary condition. …”
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Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error by Uttama Mishra

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Thermal conductivity at variable in time relative to the heat transfer coefficient by E. M. Kartashov, I. A. Nagaeva

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Empirical Likelihood for Generalized Functional-Coefficient Regression Models with Multiple Smoothing Variables under Right Censoring Data by Hong-Xia Xu, Han-Sheng Zhong, Guo-Liang Fan

“…The coefficient functions with multiple smoothing variables can accommodate various nonlinear interaction effects between covariates. …”
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Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method by Fanwei Meng, Qinghua Feng

“…In this paper, an auxiliary equation method is introduced for seeking exact solutions expressed in variable coefficient function forms for fractional partial differential equations, where the concerned fractional derivative is defined by the conformable fractional derivative. …”
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Investigations for a Type of Variable Coefficient Fractional Subdiffusion Equation with Multidelay by Wei Gu

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Homotopic Approximate Solutions for the Perturbed CKdV Equation with Variable Coefficients by Dianchen Lu, Tingting Chen, Baojian Hong

“…This work concerns how to find the double periodic form of approximate solutions of the perturbed combined KdV (CKdV) equation with variable coefficients by using the homotopic mapping method. …”
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Global Existence and Blow-Up for the Euler-Bernoulli Plate Equation with Variable Coefficients by Jianghao Hao, Jie Lan

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Abundant Explicit and Exact Solutions for the Variable Coefficient mKdV Equations by Xiaoxiao Zheng, Yadong Shang, Yong Huang

“…By the results of the equation, the first integral method and the extended hyperbolic function method are extended from the constant coefficient nonlinear evolution equations to the variable coefficients nonlinear partial differential equation.…”
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A New Random Coefficient Autoregressive Model Driven by an Unobservable State Variable by Yuxin Pang, Dehui Wang

“…The autoregressive coefficient is an unknown function with an unobservable state variable, which can be estimated by the local linear regression method. …”
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3D Variable Coefficient KdV Equation and Atmospheric Dipole Blocking by Juanjuan Ji, Yecai Guo, Lanfang Zhang, Lihua Zhang

“…A (2 + 1)-dimensional variable coefficient Korteweg-de Vries (3D VCKdV) equation is first derived in this paper by means of introducing 2-dimensional space and time slow-varying variables and the multiple-level approximation method from the well-known barotropic and quasi-geostrophic potential vorticity equation without dissipation. …”
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A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient by Rana M. S. Alyoubi, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi

“…The Ambartsumian delay differential equation with a variable coefficient is considered in this paper. An effective transformation is produced to convert the extended Ambartsumian equation to the pantograph model. …”
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Periodic Oscillation of Fuzzy Cohen-Grossberg Neural Networks with Distributed Delay and Variable Coefficients by Hongjun Xiang, Jinde Cao

“…A class of fuzzy Cohen-Grossberg neural networks with distributed delay and variable coefficients is discussed. It is neither employing coincidence degree theory nor constructing Lyapunov functionals, instead, by applying matrix theory and inequality analysis, some sufficient conditions are obtained to ensure the existence, uniqueness, global attractivity and global exponential stability of the periodic solution for the fuzzy Cohen-Grossberg neural networks. …”
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Variable power functional dilution adjustment of spot urine by Thomas Clemens Carmine

“…This study introduces a novel variable power functional creatinine correction method (V-PFCRC) to normalize analytes to 1 g/L CRN by utilizing uncorrected analyte levels and two analyte-specific coefficients, c and d. …”
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Exact Soliton Solutions to the Variable-Coefficient Korteweg–de Vries System with Cubic–Quintic Nonlinearity by Hongcai Ma, Xinru Qi, Aiping Deng

“…Under the help of the wave ansatz method, we obtain the exact soliton solutions to the variable-coefficient KdV system, such as the dark and bright soliton solutions, Tangent function solution, Secant function solution, and Cosine function solution. …”
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Propagation Properties of Laguerre–Gaussian Beams with Three Variable Coefficient Modulations in the Fractional Schrödinger Equation by Xinru Hao, Yong Liang, Min Zou, Bin Zhong, Chao Tan

“…This article investigates the transmission characteristics of Laguerre–Gaussian (LG) beams under cosine modulation, power function modulation and linear modulation based on the variable coefficient fractional Schrödinger equation (FSE), respectively. …”
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