System Dynamics Model for VMI&TPL Integrated Supply Chains by Guo Li, Xiaojing Wang, Zhaohua Wang

“…On this basis VMI-APIOBPCS II model is then changed to VMI&TPL-APIOBPCS model and VMI&TPL integrated operation mode is simulated. Finally, compared with VMI-APIOBPCS model, the TPL’s important role of goods consolidation and risk sharing in VMI&TPL integrated supply chain is analyzed in detail from the aspects of bullwhip effect, inventory level, service level, and so on.…”
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The Hermite–Hadamard–Mercer Type Inequalities via Generalized Proportional Fractional Integral Concerning Another Function by Tariq A. Aljaaidi, Deepak B. Pachpatte

“…To facilitate that, we use the proportional fractional integral operators of integrable functions with respect to another continuous and strictly increasing function. …”
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k -Fractional Variants of Hermite-Mercer-Type Inequalities via s-Convexity with Applications by Saad Ihsan Butt, Jamshed Nasir, Shahid Qaisar, Khadijah M. Abualnaja

“…This article is aimed at studying novel generalizations of Hermite-Mercer-type inequalities within the Riemann-Liouville k-fractional integral operators by employing s-convex functions. Two new auxiliary results are derived to govern the novel fractional variants of Hadamard-Mercer-type inequalities for differentiable mapping Ψ whose derivatives in the absolute values are convex. …”
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On the symbol of singular operators in the case of contour with corner points by Vasile Neagu, Petru Moloșnic

“… This paper proposes a method for constructing a symbol for singular integral operators in the case of a piecewise Lyapunov contour. …”
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Reduction of injury rate when introducing automated control systems of production processes at energy enterprises by R. N. Pigilova, F. M. Filippova, Yu. A. Averyanova

“…It is proposed to strengthen the automated process control system by integrating operational dispatch control modules and maintenance of the production process in order to reduce injuries due to the human factor.…”
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Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations by Azam Zahrani, Mashaallah Matinfar, Mostafa Eslami

“…Two-variable second-kind Chebyshev wavelets (SKCWs) are constructed using one-variable ones; then, utilizing corresponding integral operational matrices leads to an approximate solution to the problem under study. …”
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Analysis of the Potential and Influencing Factors of Regional Logistics Industry Development from the Perspective of Supply Chain by Fang Jiang

“…Additionally, the supply chain mode’s logistics is a comprehensive and integrated operation, so based on the issues with Chinese regional logistics development from a supply chain viewpoint, this study evaluates the development potential of logistics supply chain and the influencing factors from many angles.…”
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Boundary integral equation methods for Lipschitz domains in linear elasticity by Le Louër, Frédérique

“…The later can be constructed from the well-know elliptic boundary integral operators associated to the Laplace equation and Gårding’s inequalities are satisfied. …”
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The 𝑀-Wright Function in Time-Fractional Diffusion Processes: A Tutorial Survey by Francesco Mainardi, Antonio Mura, Gianni Pagnini

“…Indeed, the master equations governing these processes generalize the standard diffusion equation by means of time-integral operators interpreted as derivatives of fractional order. …”
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Some classes of alpha-quasi-convex functions by Khalida Inayat Noor

“…It is shown that some of these classes are preserved under certain integral operators.…”
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Discussion on the Development of Integrated and Intelligent Space TTC＆OC Network by Wei ZHANG, Tao WU, Hong MA, Yiwen JIAO, Yang CAI

“…With the continuous development of aerospace applied research, the space system is rapidly developing towards space networking, integrated operation and intelligent service.Therefore, how to construct an integrated and intelligent space TTC＆OC network more and more becomes the key problem in developing our future national space TTC＆OC network.Aiming at this problem, the development status of the space TTC＆OC network at home and abroad were first analyzed, then the common problems and challenges of the space TTC＆OC network for the development of intelligent integration were summarized and analyzed.On this basis, an interpretation of the integrated and intelligent space TTC＆OC network was given.Preliminary design of the integrated and intelligent space TTC＆OC network architecture was also given.Furthermore, some key technical problems in constructing the future integrated and intelligent space TTC＆OC network were discussed.…”
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Norm‐based zeroing neural dynamics for time‐variant non‐linear equations by Linyan Dai, Hanyi Xu, Yinyan Zhang, Bolin Liao

“…Various element‐wise non‐linear activation functions and integration operations are investigated to enhance the convergence performance and robustness in most proposed ZND models for solving TVNE, leading to a huge cost of hardware implementation and model complexity. …”
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On Some Applications of a Special Integrodifferential Operators by Suna Saltan, Yasemin Özel

“…., 𝐶𝐴(𝑛)=𝐶(𝑛)(𝔻×𝔻)∩ℋ𝑜𝑙(𝔻×𝔻)). The double integration operator is defined in 𝐶𝐴(𝑛) by the formula ∫𝑊𝑓(𝑧,𝑤)=𝑧0∫𝑤0𝑓(𝑢,𝑣)𝑑𝑣𝑑𝑢. …”
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Peano Theorems for Pedjeu–Ladde-Type Multi-Time Scale Stochastic Differential Equations Driven by Fractional Noises by Arcady Ponosov, Lev Idels

“…Some crucial properties of the associated integral operators, needed for the proofs of the main results, are studied as well. …”
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Design and Realization of Jiujiang Urban Smart Water Platform Based on Digital Twin Technology by CHEN Guobiao

“…Nowadays,the digital technology based on digital twin is becoming increasingly mature.To make the water environment treatment of the Yangtze River stable and efficient for a long time,Shanghai Investigation,Design & Research Institute (SIDRI) adopted the advanced concept of smart water in the water environment treatment of the central urban area in Jiujiang,the first pilot city of the Yangtze River Protection,and developed a smart water platform with the digital twin as a core technology.With the digital twin technology,SIDRI built the data base of the city and applied the smart water platform combined with 5G Internet of things,hydraulic modeling and cloud computing technology.Integrating the data of river water regime,water quality,regional rain regime,pump station operation,real-time monitoring of pipe network and other water management content,SIDRI created a spatial-temporal model of the water environment in Jiujiang central urban area with the platform,which improves the efficiency of comprehensive treatment and integrated operation of “plant-network-river-lake-(bank).” …”
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A Framework for Integrating Vision Transformers with Digital Twins in Industry 5.0 Context by Attila Kovari

“…The applied framework is capable of analyzing multidimensional data, integrating operational and visual streams for real-time tracking and application in decision making. …”
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Fractional-order boundary value problems solutions using advanced numerical technique by Asmat Batool, Imran Talib, Muhammad Bilal Riaz

“…Our proposed approach employs innovative operational matrices, specifically the integral operational matrices based on Chelyshkov polynomials (CPs), a type of orthogonal polynomials. …”
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STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL by TU LongWei, LIU Jie, LIU GuangZhao, ZHANG Zheng

“…Firstly,optimal surrogate model was constructed through polynomial structure-selection,which had good fitting and predictive ability,and it was convenient for direct integral operations. Then,local sensitivity method based on partial derivative was extended to a global sensitivity method by integrating partial derivatives of model variables in variable sapces. …”
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DNNobfus: a study on obfuscation-based edge-side model protection framework by SONG Feiyang, ZHAO Xinmiao, YAN Fei, CHENG Binlin, ZHANG Liqiang, YANG Xiaolin, WANG Yang

“…During the frontend optimization phase of deep learning compilers, three obfuscation techniques were developed and integrated: operator obfuscation, parameter obfuscation, and network topology obfuscation. …”
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Impact of Operational and Financial Efficiency on Aviation Stock Prices: A Machine Learning Model with SHAP Interpretability by Ahmet Akusta

“…This study contributes to the existing literature by integrating operational and financial metrics into a machine learning framework, offering a comprehensive and interpretable model for stock price prediction in the aviation industry.…”
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