Results 81 to 90 of about 353 (183)
Chengshi guidao jiaotong yanjiu［Objective］ With the increase of train operating speed, noise levels have gradually become a critical factor restricting the development of high-speed railways.
YU Yongge +5 more
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Existence of solutions for hybrid fractional pantograph equations
Applicable Analysis and Discrete Mathematics, 2015 In this paper, we study the existence of the hybrid fractional pantograph equation {D?0+[x(t)/f(t,x(t),x(?t))= g(t,x(t), x(?t)), 0 < t < 1, x(0) = 0, where ?,?,? ?((0,1) and D?0+ denotes the Riemann-Liouville fractional derivative. The results are obtained using the technique of measures of noncompactness in the Banach algebras and a ...
Darwish, Mohamed Abdalla +1 more
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Mathematical and Computer Modelling of Dynamical SystemsThis study investigates the theoretical and practical challenges in solving nonlinear pantograph integro-differential equations of fractional order on arbitrary time scales.
Kottakkaran Sooppy Nisar +3 more
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Journal of Applied Mathematics, 2015 The pantograph equation is a special type of functional differential equations with proportional delay. The present study introduces a compound technique incorporating the perturbation method with an iteration algorithm to solve numerically the delay ...
M. Mustafa Bahşi, Mehmet Çevik
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Fourier Operational Matrices of Differentiation and Transmission: Introduction and Applications
Abstract and Applied Analysis, 2013 This paper introduces Fourier operational matrices of differentiation and transmission for solving high-order linear differential and difference equations with constant coefficients.
F. Toutounian, Emran Tohidi, A. Kilicman
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Pantograph System with Mixed Riemann-Liouville and Caputo-Hadamard Sequential~ Fractional Derivatives: Existence and Ulam-Stability [PDF]
Mathematics Interdisciplinary ResearchThe pantograph equation improves the mathematical model of the system includes modeling the motion of the wire connected with the dynamics of the supports and modeling the dynamics of the pantograph. The subject of this paper is the existence and Ulam
Abdul Hamid Ganie +2 more
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Boundary value problems for pantograph equations under generalized
Annals of Communications in Mathematics, 2021 The sufficient conditions are estabilished for the existence of solutions for a class of boundary value problems for pantograph equations involving the ψ-type fractional deerivative in Caputo sense.
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Study on aerodynamic drag and noise reduction of high-speed pantograph with streamwise holes
Engineering Applications of Computational Fluid MechanicsExploring ways to minimize drag and noise for high speed train pantographs is critical. This study investigates the effects of incorporating holes in the panhead as a potential solution for reducing drag and noise. Using an improved delayed detached eddy
Tian Li, Deng Qin, Xiang Kan, Jiye Zhang
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机车电传动, 2016 Pantograph frame multiple rigid-body dynamics model with R/W equation based on relative coordinate system was built,and the motion differential equations and constraint equations were derived. Based on Lagrangian Multiplier Method and constraintviolation
WANG Jiangwen +3 more
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Advances in Difference Equations, 2018 This paper uses new fractional integration operational matrices to solve a class of fractional neutral pantograph delay differential equations. A fractional-order function space is constructed where the exact solution lies in, and a set of orthogonal ...
Lei Shi +3 more
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