Results 21 to 30 of about 2,313,393 (156)
A New Direct Method for Solving Nonlinear Volterra-Fredholm-Hammerstein Integral Equations via Optimal Control Problem [PDF]
Journal of Applied Mathematics, 2012 A new method for solving nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations is presented. This method is based on reformulation of VFH to the simple form of Fredholm integral equations and hence converts it to optimal control problem.
M. A. El-Ameen, M. El-Kady
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application [PDF]
Journal of Applied Mathematics, 2014 We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations [PDF]
Journal of Applied Mathematics, 2013 In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations.
İhsan Timuçin Dolapçı +2 more
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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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Journal of Mathematics, 2020 We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
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Journal of Applied MathematicsThe work is aimed at proposing a novel iterative technique based on the combination of two powerful Taylor's and Bernoulli polynomials to solve nonlinear Volterra–Fredholm integral equations of the 2nd kind.
Heba A. Abd-Alrazak +3 more
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Existence and Uniqueness Theorem of Fractional Mixed Volterra-Fredholm Integrodifferential Equation with Integral Boundary Conditions [PDF]
International Journal of Differential Equations, 2011 We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equations with integral boundary condition in Banach space. Our analysis is based on an application of the Krasnosel'skii fixed-point theorem.
Shayma Adil Murad +2 more
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Theoretical and numerical results about some weakly singular Volterra-Fredholm equations [PDF]
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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Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]
, 2021 This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Alipour, Maryam, Vali, Mohammad Ali
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Mathematics, 2021 The main aim of this paper is to numerically solve the first kind linear Fredholm and Volterra integral equations by using Modified Bernstein–Kantorovich operators.
Suzan Cival Buranay +2 more
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