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On a class of nonlinear Volterra-Fredholm q-integral equations
Fractional Calculus and Applied Analysis, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Existence of Solutions of General Nonlinear Stochastic Volterra Fredholm Integral Equations
Stochastic Analysis and Applications, 2005In this paper, we establish a set of sufficient conditions for the existence of solutions of nonlinear Volterra-Fredholm stochastic integral equations by using the notion of measure of noncompactness and the Darbo fixed point theorem.
K. Balachandran, K. Sumathy, H. H. Kuo
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Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations
Mathematical Methods in the Applied Sciences, 2016This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three‐dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The
Mirzaee, Farshid, Hadadiyan, Elham
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Communications in Nonlinear Science and Numerical Simulation, 2011
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Marzban, H. R. +2 more
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Marzban, H. R. +2 more
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Modified Decomposition Method for Solving Nonlinear Volterra–Fredholm Integral Equations
2014In this note, an approximate solution of nonlinear Volterra–Fredholm integral equation is obtained by using modified decomposition method. General cases of nonlinear terms in the equations are considered. Finally, some numerical examples are presented to validate the accuracy and efficiency of the method.
F. S. Zulkarnain +3 more
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On a Nonlinear Volterra-Fredholm Integral Equation
Sarajevo Journal of MathematicsIn this paper we study the existence, uniqueness and other properties of solutions of a certain nonlinear Volterra-Fredholm integral equation. The well known Banach fixed point theorem and the new integral inequality with explicit estimate are used to establish the results. 2000 Mathematics Subject Classification.
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Applied Mathematics and Computation, 2006
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An Iterative Approach for Solving Nonlinear Volterra–Fredholm Integral Equation Using Tension Spline
Iranian Journal of Science and Technology, Transactions A: Science, 2020According to mathematical literature, the parametric spline functions have not been used directly for solving the integral equations so far. In this work, we develop the tension spline approximation to obtain the numerical solution of Volterra–Fredholm integral equation.
Khosrow Maleknejad, Hamed Shahi Kalalagh
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Communications in Nonlinear Science and Numerical Simulation, 2012
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Maleknejad, Khosrow +2 more
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Maleknejad, Khosrow +2 more
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Approximate solution of nonlinear Volterra-Fredholm fuzzy integral equations
AIP Conference Proceedings, 2022Atanaska Georgieva, Iva Naydenova
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