Results 71 to 80 of about 370 (174)

Riemann-Liouville fractional-order pantograph differential equation constrained by nonlocal and weighted pantograph integral equations

AIMS Mathematics
In this research, we investigated the Riemann-Liouville fractional-order pantograph differential equation constrained by nonlocal and weighted pantograph integral constraints. We presented novel sufficient conditions for the uniqueness of the solution.
Ahmed M. A. El-Sayed, Wagdy G. El-Sayed, Kheria M. O. Msaik, Hanaa R. Ebead   +3 more
openaire   +2 more sources

Qualitative Analysis of a Coupled Fractional‐Order System Under Generalized Weighted Caputo Operators

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates a new class of coupled fractional‐order systems driven by the generalized weighted fractional operator in the Caputo sense, recently introduced with a modified Mittag‐Leffler kernel and an auxiliary strictly increasing function φ. This operator provides a unified framework that recovers many well‐known fractional derivatives and
Fawziah M. Alotaibi, Smritijit Sen
wiley   +1 more source

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, Youssri Hassan Youssri, Smritijit Sen   +2 more
wiley   +1 more source

Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation

Electronic Journal of Qualitative Theory of Differential Equations, 2016
This paper studies the asymptotic growth and decay properties of solutions of the stochastic pantograph equation with multiplicative noise. We give sufficient conditions on the parameters for solutions to grow at a polynomial rate in $p$-th mean and in ...
John Appleby, Evelyn Buckwar
doaj   +1 more source

Nonfragile Sliding Mode Control of Fractional‐Order Complex Networked Systems via Combination Event‐Triggered Approach

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, Baoping Jiang, Hamid Reza Karimi   +2 more
wiley   +1 more source

Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

International Journal of Mathematics and Mathematical Sciences, 1991
A discussion is given of some of the properties of the functional Volterra Integral equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy. and of the corresponding multidimensional equation.
Li. G. Chambers
doaj   +1 more source

Classifying Power Quality Issues in Railway Electrification Systems Using a Nonsubsampled Contourlet Transform Approach

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, Kaushik Paul, I. M. Elzein, Mohamed Metwally Mahmoud, Ali M. El‐Rifaie, Wulfran Fendzi Mbasso, Ahmed M. Ewais   +6 more
wiley   +1 more source

On the generalized pantograph functional-differential equation

European Journal of Applied Mathematics, 1993
The generalized pantograph equation y′(t) = Ay(t) + By(qt) + Cy′(qt), y(0) = y0, where q ∈ (0, 1), has numerous applications, as well as being a useful paradigm for more general functional-differential equations with monotone delay. Although many special cases have been already investigated extensively, a general theory for this equation is lacking–its
openaire   +1 more source

Strain Amplification via Helically Braided Fiber Reinforced Sleeve for Soft Material Energy Harvesting

Advanced Materials Technologies, Volume 10, Issue 13, July 8, 2025.
This study presents a braided fiber‐reinforced sleeve that amplifies strain in soft materials, enhancing their performance in stretchable devices like sensors and energy harvesters. By reinforcing and elongating encased materials, the sleeve increases the “effective” strain.
Emily Duan, Syed Ahmed Jaseem, Jeong Yong Kim, Michael D. Dickey, Matthew Bryant   +4 more
wiley   +1 more source

RESEARCH ON VIBRATION CONTROL METHOD OF TRAIN PANTOGRAPH

Jixie qiangdu, 2019
In this paper, the vibration control method of train pantograph is studied. A dynamic equation based on Newton’s second law is established for the two element pantograph model.
GUO YanHong
doaj