Results 51 to 60 of about 303 (178)

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

Mathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source

Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.
ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky, I. Volinsky, S. Biton, V. Steindorf   +3 more
wiley   +1 more source

Solvability of integral equations through fixed point theorems: a survey [PDF]

Surveys in Mathematics and its Applications, 2022
This paper surveys regarding solutions of linear and nonlinear integral equations through fixed point theorem. Banach's contraction mapping principle is the most widely applied fixed point theorem in all of analysis with special applications to the ...
Usha Bag , Reena Jain
doaj  

Adaptive Vibration Control of the Moving Cage in the 4 ×$\times$ 4 Hyperbolic PDE‐ODE Model of the Dual‐Cable Mining Elevator

IET Control Theory &Applications, Volume 19, Issue 1, January/December 2025.
This paper proposes an observer‐based adaptive output‐feedback boundary control to stabilize the vibrations of the moving cage of a dual‐cable mining elevator. This system is comprised of two mechanically jointed winding drums that drive the two cables through the floating sheaves to lift the cage.
Elham Aarabi, Mohammadali Ghadiri‐Modarres, Mohsen Mojiri   +2 more
wiley   +1 more source

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

A Multiple Iterated Integral Inequality and Applications

Journal of Applied Mathematics, 2014
We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function w(u(s)) of the unknown function u with nonlinear function w in integral functions in [Ma, QH, Pečarić, J: Estimates on solutions of some new ...
Zongyi Hou, Wu-Sheng Wang
doaj   +1 more source

Adaptive Robust Nonlinear Optimal Sliding Mode Control for Wind Turbines: A Hybrid OHAM‐Based Approach to Maximize Power Capture

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
In this article, we propose an adaptive robust nonlinear optimal sliding mode control using the optimal homotopy asymptotic method (RNOSC‐OHAM) for maximizing wind power capture. Because of the unstable nature of the wind and the presence of uncertainties and disturbances in the structure of the wind turbine, the optimal controller cannot provide ...
Arefe Shalbafian, Farhad Amiri, Soheil Ganjefar   +2 more
wiley   +1 more source

Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales

Discrete Dynamics in Nature and Society, 2018
We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
doaj   +1 more source

An Algorithm for Solving Phase‐Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics, Volume 2025, Issue 1, 2025.
In this work, a nonlinear fractional integrodifferential equation (NFIo‐DE) with discontinuous generalized kernel in position and time is explored in space L2(Ω) × C[0, T], T < 1, with respect to the phase‐lag time. Here, Ω is the domain of integration with respect to position, Ω ∈ (−1, 1), while T is the time.
Abeer M. Al-Bugami, M. A. Abdou, Shikha Binwal   +2 more
wiley   +1 more source

A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2014
In this paper, an iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral ...
A. H. Borzabadi, M. Heidari
doaj   +1 more source