A Quadratic Fredholm Integral Equation and its Solution for Various Kernels [PDF]
Consider the Fredholm integral equation [see pdf for notation], a parameter. The solution of this equation is discussed for separable, difference and distribution kernels.
Ghandehari, Mostafa, Nestell, Merlynd K.
core +1 more source
Toeplitz Matrix Method and Nonlinear Volterra–Fredholm Integral Equation With Hilbert Kernel
This work emphasizes the investigation of the solution to the nonlinear Volterra–Fredholm integral equation (NV-FIE) and the necessary conditions for a unique solution.
Sameeha Ali Raad, Ahlam Yahya Alabdali
doaj +1 more source
Uniqueness and Convergence of Solution of Multi-Term Fractional Order Fredholm Integro-Differential Equation [PDF]
This paper focuses on multi-term fractional order Fredholm integro-differential equation which was transformed to integral equation by using Riemann-Liouville fractional integral.
Umar, Dahiru, Bichi, Sirajo Lawan
core +2 more sources
Fredholm type integral equations
The aim of this thesis is to provide a comprehensive study on Fredholm Integral Equations and the methods to find exact solutions. We also seek to present some effective methods to find the exact solutions for linear and nonlinear Fredholm Integral Equations.
openaire +1 more source
Capacitary measures for completely monotone kernels via singular control [PDF]
We give a singular control approach to the problem of minimizing an energy functional for measures with given total mass on a compact real interval, when energy is defined in terms of a completely monotone kernel.
Alexander Schied, Aurélien Alfonsi
core
Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
Badeye SR, Woldaregay MM, Dinka TG.
europepmc +1 more source
Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
doaj
A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]
Dana Mazraeh H +3 more
europepmc +1 more source
Approximate solutions to several classes of Volterra and Fredholm integral equations using the neural network algorithm based on the sine-cosine basis function and extreme learning machine. [PDF]
Lu Y, Zhang S, Weng F, Sun H.
europepmc +1 more source

