Results 21 to 30 of about 303 (178)

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

open access: yesJournal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

THE LUCAS POLYNOMIAL SOLUTION OF LINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

open access: yesMatrix Science Mathematic, 2022
In this study, linear Volterra-Fredholm integral equations are approximatively solved in terms of Lucas polynomials about any point in this study using a practical matrix approach. This technique uses collocation points and Lucas polynomials to transform the aforementioned linear Volterra-Fredholm integral problem into a matrix equation.
Deniz Elmaci   +2 more
openaire   +2 more sources

New Algorithms for Numerical Assessment of Nonlinear Integro-Differential Equations of Second-Order using Haar Wavelets

open access: yesWalailak Journal of Science and Technology, 2014
This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro ...
Imran AZIZ   +3 more
doaj   +1 more source

Solving Linear Volterra – Fredholm Integral Equation of the Second Type Using Linear Programming Method

open access: yesمجلة بغداد للعلوم, 2020
In this paper, a new technique is offered for solving three types of linear integral equations of the 2nd kind including Volterra-Fredholm integral equations (LVFIE) (as a general case), Volterra integral equations (LVIE) and Fredholm integral equations (
Muna Mansoor Mustafaf
doaj   +1 more source

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

open access: yesSahand 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  

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

An inverse problem for a nonlinear Fredholm integro-differential equation of fourth order with degenerate kernel

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
doaj   +1 more source

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

open access: yesҚарағанды 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   +1 more source

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

open access: yesAdvances 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   +1 more source

On some Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities

open access: yesJournal of Inequalities and Applications, 2022
The main aim of this paper is establishing some new Volterra–Fredholm and Hermite–Hadamard-type fractional integral inequalities, which can be used as auxiliary tools in the study of solutions to fractional differential equations and fractional integral ...
Mohamed Doubbi Bounoua, Jianhua Tang
doaj   +1 more source

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