Results 11 to 20 of about 2,298,530 (217)

On the Existence of Solutions of Nonlinear Fredholm Integral Equations from Kantorovich’s Technique [PDF]

Algorithms, 2017
The well-known Kantorovich technique based on majorizing sequences is used to analyse the convergence of Newton’s method when it is used to solve nonlinear Fredholm integral equations. In addition, we obtain information about the domains of existence and
José Antonio Ezquerro, Miguel Ángel Hernández-Verón   +1 more
doaj   +2 more sources

An Approximate Solutions of Fuzzy Linear Fredholm Integral Equations [PDF]

Engineering and Technology Journal, 2010
The main aims of this paper are studying and modifying an approximate to solvefuzzy linear integral equations of Fredholm type.Two different Kinds of fuzzy functions are used to transform the ordinary linearintegral equations of Fredholm type to the ...
Nuha Abduljabbar Rajab, Mazin Hashim Suhhiem   +1 more
doaj   +3 more sources

Solving Volterra-Fredholm integral equations by non-polynomial spline functions

Қарағанды университетінің хабаршысы. Математика сериясы
 It depends on our information, non-polynomial spline functions have not been applied for solving Volterra- Fredholm integral equations of the second kind yet.
S.H. Salim, K.H.F. Jwamer, R.K. Saeed
doaj   +2 more sources

A generalized Volterra–Fredholm integral inequality and its applications to fractional differential equations

Advances in Difference Equations, 2018
In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
doaj   +2 more sources

A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem [PDF]

Journal of Applied Mathematics, 2012
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   +2 more sources

A Regularizing Parameter for Some Fredholm Integral Equations

Computational Methods in Applied Mathematics, 2010
AbstractThe regularizing parameter appearing in some Fredholm integral equations of the second kind is discussed. Theoretical estimates and the results of numerical tests confirming the theoretical expectations are given.
FERMO, LUISA
openaire   +5 more sources

Computation of the eigenvalues of Fredholm–Stieltjes integral equations

Applicable Analysis, 2006
The Rayleigh–Ritz and the inverse iteration methods are used in order to compute the eigenvalues of Fredholm–Stieltjes integral equations, i.e. Fredholm equations with respect to suitable Stieltjes-type measures. Some applications to the so-called ‘charged’ (in German ‘belastete’) integral equation, and particularly the problem of computing the ...
P. NATALINI, RICCI, Paolo Emilio
openaire   +3 more sources

A Regularization of Fredholm type singular integral equations [PDF]

International 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   +2 more sources

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj   +1 more source

A Representation for the Solution of Fredholm Integral Equations [PDF]

Proceedings of the American Mathematical Society, 1969
This paper provides a new representation formula for the solution of Fredholm integral equations of the second kind. The formula has certain computational advantages over the usual representation involving the resolvent or the representation formula of Krein.
Kagiwada, H. H., Kalaba, R. E., Schumitzky, A.   +2 more
openaire   +1 more source