Results 71 to 80 of about 1,003 (182)

Three-dimensional triangular functions and their applications for solving nonlinear mixed Volterra–Fredholm integral equations

open access: yesAlexandria Engineering Journal, 2016
In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
doaj   +1 more source

A Regularization of Fredholm type singular integral equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
We present a method to regularize first and second kind integral equations of Fredholm type with singular kernel. By appropriate application of the Poincaré-Bertrand formula we change such integral equations into a second kind Fredholm's integral ...
N. Aliev, S. Mohammad Hosseini
doaj   +1 more source

Fredholm type integral equations

open access: yes, 2020
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

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

open access: yesREMAT
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

The Study of Triple Integral Equations with Generalized Legendre Functions

open access: yesAbstract and Applied Analysis, 2008
A method is developed for solutions of two sets of triple integral equations involving associated Legendre functions of imaginary arguments. The solution of each set of triple integral equations involving associated Legendre functions is reduced to a ...
B. M. Singh, J. Rokne, R. S. Dhaliwal
doaj   +1 more source

Introducing the Second-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural Integral Equations

open access: yesMathematics
This work presents the “First-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural Integral Equations” (1st-FASAM-NIE-Fredholm) and the “Second-Order Features Adjoint Sensitivity Analysis Methodology for Fredholm-Type Neural ...
Dan Gabriel Cacuci
doaj   +1 more source

A Multiple Iterated Integral Inequality and Applications

open access: yesJournal 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

Fredholm and Volterra Integral Equations

open access: yesJournal of Arts, Literature, Humanities and Social Sciences
We will focus on Fredholm and Volterra integral equations. We have examined the development of integral equations that has significant applicability in physical problems. A multitude of initial and boundary value issues can be converted into integral equations. Mathematical physics problems are typically regulated by integral equations.
openaire   +1 more source

Stabilization of Integral Delay Equations by Solving Fredholm Equations

open access: yesIEEE Control Systems Letters
IEEE Control Systems Letters, In ...
openaire   +2 more sources

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