Results 11 to 20 of about 3,197,328 (188)
Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]
Sahand Communications in Mathematical Analysis, 2015 In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
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Block‐by‐Block Method for Solving Nonlinear Volterra‐Fredholm Integral Equation [PDF]
Mathematical Problems in Engineering, 2010 We consider a nonlinear Volterra‐Fredholm integral equation (NVFIE) of the second kind. The Volterra kernel is time dependent, and the Fredholm kernel is position dependent. Existence and uniqueness of the solution to this equation, under certain conditions, are discussed.
Abdallah A. Badr
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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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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 for mixed Volterra-Fredholm integral equations
Electronic Journal of Differential Equations, 2012 In this article, we give some results concerning the continuity of the nonlinear Volterra and Fredholm integral operators on the space $L^{1}[0,infty)$.
Asadollah Aghajani +2 more
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Some Nonlinear Delay Volterra–Fredholm Type Dynamic Integral Inequalities on Time Scales
Discrete Dynamics in Nature and Society, 2018 We are devoted to studying a class of nonlinear delay Volterra–Fredholm type dynamic integral inequalities on time scales, which can provide explicit bounds on unknown functions.
Yazhou Tian, A. A. El-Deeb, Fanwei Meng
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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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Journal of Mathematical Extension, 2013 Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
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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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