Results 61 to 70 of about 195 (150)

Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables

Journal of Applied Mathematics, 2014
We establish a class of new nonlinear retarded Volterra-Fredholm type integral inequalities, with two variables, where known function w in integral functions in Q.-H. Ma and J. Pečarić, 2008 is changed into the functions w1,w2. By adopting novel analysis
Yusong Lu, Wu-Sheng Wang, Xiaoliang Zhou, Yong Huang   +3 more
doaj   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]

PLoS One, 2023
Amin AZ, Amin AK, Abdelkawy MA, Alluhaybi AA, Hashim I.   +4 more
europepmc   +1 more source

A successive iterative approach for two dimensional nonlinear Volterra-Fredholm integral equations

Iranian Journal of Numerical Analysis and Optimization, 2014
Summary: An iterative scheme for extracting approximate solutions of two dimensional Volterra-Fredholm integral equations is proposed. Considering some conditions on the kernel of the integral equation obtained by discretization of the integral equation, the convergence of the approximate solution to the exact solution is investigated. Several examples
H. Borzabadi, A., Heidari, M.
openaire   +3 more sources

Existence of solutions for mixed Volterra-Fredholm integral equations

Electronic Journal of Differential Equations, 2012
In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani, Yaghoub Jalilian, Kishin Sadarangani   +2 more
doaj  

Numerical Treatment of Nonlinear Volterra-Fredholm Integral Equation with a Generalized Singular Kernel

American Journal of Computational Mathematics, 2016
In the paper, the approximate solution for the two-dimensional linear and nonlinear Volterra-Fredholm integral equation (V-FIE) with singular kernel by utilizing the combined Laplace-Adomian decomposition method (LADM) was studied. This technique is a convergent series from easily computable components. Four examples are exhibited, when the kernel
Fatheah Ahmed Hendi, Manal Mohamed Al-Qarni   +1 more
openaire   +2 more sources

Numerical solution of nonlinear Volterra-Fredholm integral equations of the first kind using alternative Legendre polynomials

پژوهش‌های ریاضی, 2021
Alternative Legendre polynomials (ALPs) are used for approximating the solution of nonlinear Volterra-Fredholm integral equations (VFIEs) of the rst kind. The problem is rst transformed into a second kind VFIE and then, using the ALP operational matrices
Sohrab Bazm, Alireza Hosseini
doaj  

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]

Heliyon, 2023
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
europepmc   +1 more source

Fredholm boundary-value problem for the system of fractional differential equations. [PDF]

Nonlinear Dyn, 2023
Boichuk O, Feruk V.
europepmc   +1 more source

An Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations

International Journal of Mathematics and Systems Science, 2019
This paper is concerned with the numerical solution of the mixed Volterra-Fredholm integral equations by using a version of the block by block method. This method efficient for linear and nonlinear equations and it avoids the need for spacial starting values.
openaire   +1 more source

Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]

Heliyon, 2022
Jan AR.
europepmc   +1 more source