Results 51 to 60 of about 7,017 (197)

A Simple Approach to Volterra-Fredholm Integral Equations [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2020
This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
doaj   +1 more source

Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]

open access: yes, 2021
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 ...
Maryam Alipour, Mohammad Ali Vali
core   +1 more source

Grassmannian flows and applications to nonlinear partial differential equations

open access: yes, 2018
We show how solutions to a large class of partial differential equations with nonlocal Riccati-type nonlinearities can be generated from the corresponding linearized equations, from arbitrary initial data.
A Abbondandolo   +39 more
core   +1 more source

Generalized Bihari Type Integral Inequalities and the Corresponding Integral Equations

open access: yesJournal of Inequalities and Applications, 2009
We study some special nonlinear integral inequalities and the corresponding integral equations in measure spaces. They are significant generalizations of Bihari type integral inequalities and Volterra and Fredholm type integral equations.
László Horváth
doaj   +2 more sources

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

open access: yesDiscrete 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

A Novel Numerical Method for Solving Fractional Diffusion-Wave and Nonlinear Fredholm and Volterra Integral Equations with Zero Absolute Error

open access: yesAxioms, 2021
In this work, a new numerical method for the fractional diffusion-wave equation and nonlinear Fredholm and Volterra integro-differential equations is proposed.
Mutaz Mohammad   +2 more
doaj   +1 more source

Solvability of inclusions of Hammerstein type

open access: yes, 2019
A fairly general continuation theorem of Leray-Schauder type for the class of so-called admissible multimaps is set forth. This result is then used to establish a universal rule for solving operator inclusions of Hammerstein type in Lebesgue-Bochner ...
Pietkun, Radosław
core   +1 more source

Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations

open access: yesComputers & Mathematics with Applications, 2003
The central object of study in the paper under review is the general nonlinear Volterra-Fredholm integral equation and its numerical treatment. \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comp. 48, 585--593 (1987; Zbl 0616.65142)] introduced an approach to convert the conventional Hammerstein integral equation into a conductive form for ...
openaire   +1 more source

Piecewise constant bounds for the solution of nonlinear Volterra-Fredholm integral equations [PDF]

open access: yesComputational & Applied Mathematics, 2012
Using the tools offered by interval analysis, the authors compute piecewise constant bounds for the solution of mixed nonlinear Volterra-Fredholm integral equations. They choose the interval enclosures such that it contains the exact solution considering all round-off errors and truncation errors.
Yazdani, S., Hadizadeh, M.
openaire   +4 more sources

Exponential Convergence for Numerical Solution of Integral Equations Using Radial Basis Functions

open access: yesJournal of Applied Mathematics, 2014
We solve some different type of Urysohn integral equations by using the radial basis functions. These types include the linear and nonlinear Fredholm, Volterra, and mixed Volterra-Fredholm integral equations.
Zakieh Avazzadeh   +3 more
doaj   +1 more source

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