Degenerate method in mixed nonlinear three dimensions integral equation
Alexandria Engineering Journal, 2019 In this paper, a mixed nonlinear integral equation (MNIE) of The second kind of position and time is introduced. The existence Of at least one solution of this equation is discussed.
M. Basseem
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Computers & Mathematics with Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babolian, E. +3 more
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Corrections on A numerical method for solving nonlinear Volterra--Fredholm integral equations
, 2019 Some corrections are made in our article, which was published in Appl. Anal. Optim. Vol. 3 (2019), No. 1, 103--127. These corrections are intended to transform the equation \eqref{eq:1.1} \begin{equation}\label{eq:1.1} x(t) + \int\limits_a^t {K_1(t,s,x(s)) ds} + \int\limits_a^b {K_2(t,s,x(s)) ds} = g(t),\;\,a \le t \le b \tag{1.1} \end{equation} into a
Binh, Ngo Thanh, Van Ninh, Khuat
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Analysis of mixed type nonlinear Volterra-Fredholm integral equations involving the Erd
Journal of King Saud University - Science, 2023 Supriya Kumar Paul +3 more
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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 +3 more
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An Appropriate Numerical Method for Solving Nonlinear Volterra-Fredholm Integral Equations
International Journal of Mathematics and Systems Science, 2018 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.
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Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]
PLoS One, 2023 Amin AZ +4 more
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An improvement of the product integration method for a weakly singular Hammerstein equation
, 2016 We present a new method to solve nonlinear Hammerstein equations with weakly singular kernels. The process to approximate the solution, followed usually, consists in adapting the discretization scheme from the linear case in order to obtain a nonlinear ...
Grammont, Laurence, Kaboul, Hanane
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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.
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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 +2 more
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