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Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]
This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Mohammad Ali Vali +3 more
core +1 more source
Volterra integral equations solved in Fredholm form using Walsh functions [PDF]
Recently Walsh function methods have been developed for the numerical solution of several classes of problems, mainly linear and nonlinear integral equations of both Volterra and Fredholm types.
May, R. L. +2 more
core +1 more source
A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
doaj +1 more source
Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
doaj +1 more source
The fuzzy Fredholm integral equation is a fundamental equation that describes a wide range of phenomena in physics, chemistry, and fluid dynamics. Fuzzy neutrosophic numbers offer an effective way to handle the uncertainty in fuzzy Fredholm integral equations, helping identify the most suitable variables and factors for solving them. Therefore, in this
Hamzeh Zureigat +2 more
wiley +1 more source
The Lucas collocation approach is used in this study to approximate a fractional‐order financial crime model (FOFCM) numerically. The model categorizes the population into five groups: persons without a financial criminal past, those inclined toward financial crimes, active participants, individuals undergoing prosecution, and those imprisoned.
Mahmoud Abd El-Hady +4 more
wiley +1 more source
An approximate solution for a mixed linear Volterra–Fredholm integral equation
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhong Chen 0008, Wei Jiang 0012
openaire +3 more sources
Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind
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
Solvability of integral equations through fixed point theorems: a survey [PDF]
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
On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
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

