Results 131 to 140 of about 195 (150)

Iterative method and convergence analysis for a kind of mixed nonlinear Volterra–Fredholm integral equation

Applied Mathematics and Computation, 2013
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Keyan Wang, Qisheng Wang, Kaizhong Guan
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Optimal perturbation iteration technique for solving nonlinear Volterra‐Fredholm integral equations

Mathematical Methods in the Applied Sciences, 2020
In this work, the optimal perturbation iteration method is briefly presented and employed for solving nonlinear Volterra‐Fredholm integral equations. The classical form of the optimal perturbation iteration method is modified, and new algorithms are constructed for integral equations.
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On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation

2015
In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the  coupled fixed point theorems in the framework of Banach space $ X=C([a,b],mathbb{R})$. Finally, we  give an example to illustrate the applications of our results.
Moradi, S., Mohammadi Anjedani, M., Analoei, E.   +2 more
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Convergence analysis of hybrid functions method for two-dimensional nonlinear Volterra–Fredholm integral equations

Journal of Computational and Applied Mathematics, 2020
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Khosrow Maleknejad, E. Saeedipoor
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On a Nonlinear Volterra-Fredholm Integral Equation

Sarajevo Journal of Mathematics
In this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results.   2000 Mathematics Subject Classification.
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Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations

Stochastic Analysis and Applications, 2005
In this paper, we establish a set of sufficient conditions for the existence of solutions of nonlinear Volterra-Fredholm stochastic integral equations by using the notion of measure of noncompactness and the Darbo fixed point theorem.
K. Balachandran, K. Sumathy, H. H. Kuo
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ON THE SYSTEM OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS ON TIME SCALES

Functional Differential Equations
In this paper, an attempt has been made to investigate the qualitative properties of solutions of the following nonlinear Volterra-Fredholm integral equation on time scales t. We have established the existence, uniqueness and some other estimation of solutions of the above integral equation by using Banach fixed point theorem and an integral inequality
PANIGRAHI, S., BHARTI, P.
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Solving Nonlinear Volterra-Fredholm Integral Equations via New Basis Functions

2021
In this paper, by introducing a class of new orthogonal basis functions (NFs), we propose a numerical method to solve the nonlinear Volterra-Fredholm integral equations of the second kind (NVFIE2). To do this, first, we present the operational matrix of integration of NFs.
A. A. Cheraghi Tofigh, Reza Ezzati
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Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations

Mathematical Methods in the Applied Sciences, 2016
This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three‐dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The
Mirzaee, Farshid, Hadadiyan, Elham
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Modified Decomposition Method for Solving Nonlinear Volterra–Fredholm Integral Equations

2014
In this note, an approximate solution of nonlinear Volterra–Fredholm integral equation is obtained by using modified decomposition method. General cases of nonlinear terms in the equations are considered. Finally, some numerical examples are presented to validate the accuracy and efficiency of the method.
F. S. Zulkarnain, Z. K. Eshkuvatov, Z. Muminov, N. M. A. Nik Long   +3 more
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