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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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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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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Effect of Coefficient of Variation on Variable Sampling Scheme Indexed in AQL and AOQL under Measurement Error by Uttama Mishra

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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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Exact Solutions with Variable Coefficient Function Forms for Conformable Fractional Partial Differential Equations by an Auxiliary Equation Method by Fanwei Meng, Qinghua Feng

“…As a result, some exact solutions including variable coefficient function solutions as well as solitary wave solutions for the two equations are found.…”
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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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Fourier coefficients and growth of harmonic functions by A. fryant, H. Shankar

“…We consider Harmonic Functions, H of several variables. We obtain necessary and sufficient conditions on its Fourier coefficients so that H is an entire harmonic (that is, has no finite singularities) function; the radius of harmonicity in terms of its Fourier coefficients in case H is not entire. …”
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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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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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Experimental Characteristics of Mechanical Continuously Variable Transmission with Internal Force Functions by A. V. Yurkevich, A. V. Tereshin, V. A. Soldatkin

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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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Two-point boundary value problem for a partial differential equation in spaces of periodic functions by V.S. Ilkiv, Z.M. Nytrebych, P.Y. Pukach, M.I. Vovk

“…We investigate the two-point in time boundary value problem for the partial differential equations of the second-order with one spatial variable and constant coefficients. The problem is considered in in the spaces of functions which Fourier coefficients are characterized by exponential behavior on the Cartesian product of the time interval and spatial domain $\mathbb{R}/2\pi\mathbb{Z}$. …”
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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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