Results 61 to 70 of about 369 (174)
Engineering Applications of Computational Fluid Mechanics, 2023 It is noteworthy to explore potential measures for further reducing the aerodynamic drag and noise of high-speed pantographs. This paper proposes a method of introducing spanwise waviness into the upper and lower arms.
Deng Qin, Tian Li, Jiye Zhang, Ning Zhou
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On the advanced balanced pantograph equation
Communications on Pure and Applied AnalysisThe paper is concerned with the advanced balanced pantograph equation \[ y'(x)+y(x)=\displaystyle\sum_{k=1}^m p_k y(a_kx),\tag{1} \] where \(p_k>0\) for \(k=1,\ldots,m\), \(\sum_{k=1}^m p_k=1\), and ...
van Brunt, Bruce +2 more
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Journal of Mathematics, Volume 2026, Issue 1, 2026.We explore the features of fractional integral inequalities for some new classes of interval‐valued convex functions (CF s) to establish their generalization compared to the previously known real‐valued CF s. Motivated by the foundational role of mathematical inequalities in analysis and optimization, we delve into the formulation and proof of integral
Ahsan Fareed Shah +5 more
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International Journal of Analysis and Applications, 2022 In electric trains, the current is collected via a certain device, called the Pantograph. The governing mathematical model of such physical problem is well-known as the Pantograph delay differential equation (PDDE): y’(t)=ay(t)+by(ct), where c is a ...
S. M. Khaled
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On ℬ‐Analog of the Sumudu Transform Associated With the General Quantum ℬ‐Difference Operator
Journal of Mathematics, Volume 2026, Issue 1, 2026.We present here a B‐analog of the Sumudu transform defined via a general quantum B‐difference operator which generalizes classical difference operators in the context of quantum calculus, is employed to study the proposed problem. We explore the core characteristics of the B‐Sumudu transform and illustrate its applications in solving B‐initial value ...
Karima M. Oraby +2 more
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Fractional Pantograph Delay Equations Solving by the Meshless Methods
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial and boundary conditions.
Shefaa M. N. Jasim, Ghada H. Ibraheem
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International Journal of Robust and Nonlinear Control, Volume 35, Issue 13, Page 5685-5704, 10 September 2025.ABSTRACT This work addresses the problem of developing a nonfragile sliding mode observer for fractional‐order complex networked systems (FO‐CNS) under stochastic network attacks. The proposed approach employs a combination of event‐triggered techniques. First, a nonfragile fractional‐order state observer is developed, enabling the design of a suitable
Xin Meng +2 more
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On a new structure of the pantograph inclusion problem in the Caputo conformable setting
Boundary Value Problems, 2020 In this work, we reformulate and investigate the well-known pantograph differential equation by applying newly-defined conformable operators in both Caputo and Riemann–Liouville settings simultaneously for the first time.
Sabri T. M. Thabet +2 more
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Engineering Reports, Volume 7, Issue 8, August 2025.Railway electrification systems indeed have unique challenges due to variable power demand and dynamic train operations. Power quality (PQ) monitoring for high‐speed trains (HSTs) is essential to guarantee the effectual and unfailing operation of the ESs.
Pampa Sinha +6 more
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Large deviations for stochastic pantograph integrodifferential equation
Filomat, 2023 The pantograph equation, a specific type of delay differential equation is examined in this study in its stochastic form. Our main intention is to establish the Wentzell-Freidlin type large deviation estimates for stochastic pantograph integrodifferential equation.
Siva Ranjani +2 more
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