Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
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On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also provide a handy and effective tool for the study of
Haidong Liu
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Hybrid functions approach for the nonlinear Volterra–Fredholm integral equations
Procedia Computer Science, 2011 AbstractAn approximation method based on hybrid Legendre and Block–Pulse functions used for the solution of nonlinear Volterra–Fredholm integral equations (NV-FIEs). These hybrid functions operational matrices are presented and are utilized to reduce a nonlinear Volterra–Fredholm integral equation to a system of nonlinear algebraic equations.
Elham Hashemizadeh +2 more
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Solution of the Nonlinear Mixed Volterra-Fredholm Integral Equations by Hybrid of Block-Pulse Functions and Bernoulli Polynomials [PDF]
The Scientific World Journal, 2014 A new numerical method for solving the nonlinear mixed Volterra-Fredholm integral equations is presented. This method is based upon hybrid functions approximation.
S. Mashayekhi, M. Razzaghi, O. Tripak
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An approach of extrapolation methods for the solution of nonlinear Volterra–Fredholm integral equations of the second kind [PDF]
Iranian Journal of Numerical Analysis and OptimizationThis study presents the process of using extrapolation methods to solve the nonlinear Volterra–Fredholm integral equations of the second kind. To do this, by approximating the integral terms contained in equations by a quadrature rule, the nonlinear ...
H. Safdari +2 more
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Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
Open Journal of Applied Sciences, 2012 A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Parviz Darania
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Alexandria Engineering Journal, 2016 In this paper, we used the three-dimensional triangular functions (3D-TFs) for the numerical solution of three-dimensional nonlinear mixed Volterra–Fredholm integral equations. First, 3D-TFs and their properties are described.
Farshid Mirzaee, Elham Hadadiyan
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Existence of Solutions of Nonlinear Stochastic Volterra Fredholm Integral Equations of Mixed Type
International Journal of Mathematics and Mathematical Sciences, 2010 We establish sufficient conditions for the existence and uniqueness of random solutions of nonlinear Volterra-Fredholm stochastic integral equations of mixed type by using admissibility theory and fixed point theorems.
K. Balachandran, J.-H. Kim
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations [PDF]
Abstract and Applied Analysis, 2014 A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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He’s variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations
Computers and Mathematics With Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S A Yousefi, A Lotfi, Mehdi Dehghan
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