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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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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A review on frictional torque reduction approaches for energy efficient roller bearings by Mohammad Lutfar Rahaman, Esteban Bernal, Maksym Spiryagin, Colin Cole, Roger Buckley, Qing Wu

“…This review examines various strategies to enhance the energy efficiency of roller bearings by reducing frictional torques from multiple sources: roller rolling resistance, sliding friction at roller ends, lubricant agitation, interactions with bearing cages, and frictional losses in seals. …”
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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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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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Performance Analysis of a Reciprocating Refrigeration Compressor Under Variable Operating Speeds by Willian T. F. D. da Silva, Vitor M. Braga, Cesar J. Deschamps

“…Results reveal that neither volumetric nor exergy efficiency varies monotonically with compressor speed. …”
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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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Analysis of Meshing Efficiency of Straigh Bevel Gear based on Integrated Lubrication by Tang Xiaogui, Wang Bin, Li Peihong, Chen Xinbo

“…In order to predict the transient meshing efficiency of bevel gear pairs,a theoretical model of friction coefficient is established under boundary lubrication,elastohydrodynamic lubrication and mixed lubrication based on the principle of equivalent gear theory,by simplifying bevel gear into equivalent straigh gear,and by computing oil film-thickness ratio. …”
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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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Analysis of the Influence of Clutch Drag Torque on the Efficiency of Hydro-mechanical Continuously Variable Transmission by Rong Chai, Mingzhu Zhang, Jianhua Wang, Fang Jia

“…In order to study the influence of multiple clutches on the transmission efficiency of a hydro-mechanical continuously variable transmission （HMCVT），the structure characteristics of a closed loop consisting of multiple wet friction clutches in the transmission are investigated. …”
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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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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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Enhancing joint efficiency in friction stir welding of PA66 using an induction-heated threaded pin and glass fiber reinforcement by Ammar Elsheikh, Mohamed Ahmed Elmosalamy, Ninshu Ma, Ibrahim Eldeeb, Ezzat Showaib, Saad Ebied

“…This study investigates the friction stir welding (FSW) of polyamide 66 (PA66) sheets using an induction-heated threaded pin tool with a stationary shoulder. …”
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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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Efficient and variable viscosity fracturing fluid of deep coal rock gas and popularization in ultimate volume fracturing by Bo LIN, Shuai CHEN, Xiangyang YAN, Mengqi CHEN, Liangjun DU, Heng CHEN, Hongsheng LU, Shuai SUN

“…By taking the advantage of SFY-2, a efficient and variable viscosity fracturing fluid is constructed to fit the design idea of coal rock gas Ultimate volume Fracturing, the variable viscosity control scheme is formulated and the construction technology is optimizated to achieve the goal of “Breaking” the coal rock sufficiently, creating complex sewing nets, filling sands fully and supporting effective. …”
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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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