Results 1 to 10 of about 23,229 (213)
Fredholm-Volterra integral equation with potential kernel [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 A method is used to solve the Fredholm-Volterra integral equation of the first kind in the space L2(Ω)×C(0,T), Ω={(x,y):x2+y2≤a}, z=0, and ...
M. A. Abdou, A. A. El-Bary
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Solving Fredholm Integral Equations Using Deep Learning. [PDF]
Int J Appl Comput Math, 2022 The aim of this paper is to provide a deep learning based method that can solve high-dimensional Fredholm integral equations. A deep residual neural network is constructed at a fixed number of collocation points selected randomly in the integration domain. The loss function of the deep residual neural network is defined as a linear least-square problem
Guan Y, Fang T, Zhang D, Jin C.
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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization [PDF]
مجلة التربية والعلم, 2023 Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed.
Israa sheekhoo, Azzam Aladool
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Solution of Nonlinear Fredholm Integral Equations on Almost Z⊥-Contraction
Journal of Mathematics, 2023 In this manuscript, we develop an orthogonal to basically Z-contraction and demonstrate various fixed point theorems of nonlinear Fredholm integral equation solutions in such a contraction. By using these ideas of discovering the fixed point theorems, we
Gunasekaran Nallaselli +4 more
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A random Fredholm integral equation [PDF]
Proceedings of the American Mathematical Society, 1972 The aim of this paper is the study of a random or stochastic integral equation of the Fredholm type given by x ( t ; ω ) = h ( t ; ω ) + ∫ 0 ∞ k 0
Padgett, W. J., Tsokos, Chris P.
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Fractal and Fractional, 2020 The main goal of the paper is to present an approximate method for solving of a two-dimensional nonlinear Volterra-Fredholm fuzzy integral equation (2D-NVFFIE). It is applied the homotopy analysis method (HAM).
Atanaska Georgieva, Snezhana Hristova
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Use of Bernstein Polynomial in Numerical Solution of Nonlinear Fred Holm Integral Equation [PDF]
Engineering and Technology Journal, 2011 In this paper, Bernstein polynomials with different degree has been used to approximate the solution of nonlinear Fredholm integral equations. A comparison between the different degree of Bernstein polynomials has been made depending on absolute error ...
Khawla A .AL-Zubaidy, Muna M. Mustafa
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Complexity, 2021 This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad +2 more
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On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations
Mathematics, 2022 An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
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Constructive method for solvability of Fredholm equation of the first kind
Electronic Journal of Qualitative Theory of Differential Equations, 2017 The solvability and construction of the general solution of the first kind Fredholm integral equation are among the insufficiently explored problems in mathematics. There are various approaches to solve this problem.
Serikbai Aisagaliev, Zhanat Zhunussova
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