Results 61 to 70 of about 370 (174)

Active Power Filter‐Based Low‐Frequency Ripple Power Suppression of the DC‐Link in Railway Traction Systems

IET Power Electronics, Volume 19, Issue 1, January/December 2026.
This article presents an active power filtering control method to suppress ripple power in the DC‐link of railway traction systems, including both the inherent second‐order ripple of single‐phase rectifiers and additional frequency ripples introduced by the pantograph–catenary arc.
Wei Wang, Wei Jiang, Hao Yue, Xiangmin He, Xinke Wang, Wensheng Song   +5 more
wiley   +1 more source

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
doaj   +1 more source

Uniqueness Theorem and Midpoint Numerical Technique for Fractal‐Fractional Differential Equations With Power Law Kernel

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we obtained conditions for the uniqueness of solution and a Crank–Nicholson–type algorithm for fractal‐fractional differential equations with a power law kernel in Riemann–Liouville sense. For the uniqueness analysis, Kooi′s conditions are imposed on the problem.
Chinedu Nwaigwe, Abdon Atangana, Mohammad Rezwan Habib   +2 more
wiley   +1 more source

Analytical Investigation of Fractional Nonlinear Systems in Compact‐Open Banach Spaces: Applications in the Chemical Wave Propagation Theory

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we present some analytical and topological framework for fractional nonlinear systems on compact‐open Banach spaces. By using the locally compact property of these spaces, the continuity and compactness of nonlinear operators are rigorously established.
Faten H. Damag, Khaled M. Saad, Mohammad Alshammari, Amin Saif, Mohammed S. Alsharafi, Smritijit Sen   +5 more
wiley   +1 more source

An Effective Numerical Approach for Fractional Integro‐Differential Systems Using Shifted Airfoil Polynomials

Journal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we propose a projection method that utilizes shifted airfoil polynomials to solve systems of weakly singular fractional integro‐differential equations (FIDEs). The proposed approach converts the original system into two linear algebraic systems, facilitating efficient numerical solutions.
Saeed Althubiti, Chang Phang
wiley   +1 more source

Controllability of pantograph-type nonlinear non-integer order differential system with input delay

Alexandria Engineering Journal
One of the most famous classes of differential equations is the pantograph equation, which is a unique kind of functional differential equation with proportional delay.
Irshad Ahmad, Saeed Ahmad, Ghaus ur Rahman, Yeliz Karaca, Zareen A. Khan   +4 more
doaj   +1 more source

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, Sina Etemad, Shahram Rezapour   +2 more
doaj   +1 more source

Fractional Linear Systems With Nonsingular Kernel: Explicit Solutions and Ulam–Hyers Stability

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper is devoted to the explicit representation of solutions for a class of differential equations involving the Caputo–Fabrizio fractional derivative with a nonsingular kernel. Motivated by the lack of explicit representation formulas for Caputo–Fabrizio fractional systems in the existing literature, two distinct approaches based on Laplace ...
Mustafa Aydin, Smritijit Sen
wiley   +1 more source

Fractional Integral Inequalities for Generalized Interval‐Valued Functions With Applications in Stock Price Prediction via LSTM

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, Patricia J. Y. Wong, Nasir Rehman, Salah Mahmoud Boulaaras, Muhammad Shoaib Saleem, B. B Upadhyay   +5 more
wiley   +1 more source

The pantograph lift measurement method in overhead catenary system

Nihon Kikai Gakkai ronbunshu
Condition monitoring technology has advanced remarkably in recent years in various areas, including railways. Since the overhead catenary system and the pantograph in railway does not have enough redundancy, failures of the overhead catenary system or ...
Takayuki USUDA, Masaki TAKAHASHI, Yuki AMANO, Yoshitaka YAMASHITA   +3 more
doaj   +1 more source