Advances in Difference Equations, 2017 In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to
Teerawat Wongyat, Wutiphol Sintunavarat
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Theoretical and numerical results about some weakly singular Volterra-Fredholm equations
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper existence, uniqueness results for the solution of some weakly singular linear Volterra and Volterra-Fredholm integral equations are given.
F. Calió, E. Marchetti, V. Mureșan
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Posteriori error estimates for the nonlinear Volterra-Fredholm integral equations
Computers & Mathematics with Applications, 2003 The central object of study in the paper under review is the general nonlinear Volterra-Fredholm integral equation and its numerical treatment. \textit{S. Kumar} and \textit{I. H. Sloan} [Math. Comp. 48, 585--593 (1987; Zbl 0616.65142)] introduced an approach to convert the conventional Hammerstein integral equation into a conductive form for ...
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Beni-Suef University Journal of Basic and Applied Sciences, 2014 In this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations.
Farshid Mirzaee, Seyede Fatemeh Hoseini
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Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]
BMC Res Notes, 2023 Badeye SR, Woldaregay MM, Dinka TG.
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Behaoivours of solution of fredholm and volterra integral equations with randim effects
, 2020 YÖK Tez No: 674554Bu çalışmada, Fredholm, Volterra ve Volterra-İntegro integral denklemlerinin katsayıları ve başlangıç koşulları rastgele değişken seçilerek denklemler rastgele hale getirilmiştir.
Boyacı, Özge Altay
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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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Fredholm boundary-value problem for the system of fractional differential equations. [PDF]
Nonlinear Dyn, 2023 Boichuk O, Feruk V.
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Solution of nonlinear mixed integral equation via collocation method basing on orthogonal polynomials. [PDF]
Heliyon, 2022 Jan AR.
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A NUMERICAL SOLUTION OF NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS
Journal of Applied Analysis & Computation, 2013 In this paper, a numerical procedure for solving a class ofnonlinear Volterra-Fredholm integral equations is presented. Themethod is based upon the globally defined sinc basis functions.Properties of the sinc procedure are utilized to reduce thecomputation of the nonlinear integral equations to some algebraicequations.
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