Results 71 to 80 of about 303 (179)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this work, we investigate a numerical method for solving nonlinear fractional Fredholm integro‐differential equations with logarithmic weakly singular kernels. Since the direct solution of these equations using classical methods results in low accuracy and high computational cost due to the singular behavior of the exact solution at both endpoints ...
Ali Edham Awadh +2 more
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Journal of Mathematics, Volume 2025, Issue 1, 2025.We aim to introduce a numerical method to solve a system of two‐dimensional nonlinear integral equations of Volterra–Fredholm type with the second kind on nonrectangular domains. The method estimates the solutions of the system by a discrete collocation method based on radial basis functions constructed on scattered points.
Mohsen Jalalian +3 more
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The study of the solution of a Fredholm-Volterra integral equation by Picard operators [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2019 In this paper we will use the Picard operators technique, in order to establish the existence and uniqueness, data dependence and Gronwall-type results for the solutions of a Fredholm-Volterra functional-integral equation. The paper ends with a result of the Ulam-Hyers stability of this integral equation.
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Optimal Control Applications and Methods, Volume 45, Issue 4, Page 1832-1850, July/August 2024.The graphical abstract delves into Caputo fractional nonlinear differential inclusions, highlighting their complexities and the need for innovative solutions. We propose a mild solution approach to address these challenges efficiently. Our investigation focuses on determining the existence of mild solutions under varied conditions and exploring optimal
Marimuthu Mohan Raja +4 more
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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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Glia, Volume 72, Issue 6, Page 1096-1116, June 2024.Main Points CB1R heteromerizes with A1R and A2AR in astrocytes. CB1R signaling is potentiated by A1R and inhibited by A2AR. LTP potentiation by CB1R is A1R‐dependent in IP3R2WT mice. CB1R activation and A2AR blockade decrease LTP independently in IP3R2KO mice.
Joana Gonçalves‐Ribeiro +11 more
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Haar Wavelet Method for the System of Integral Equations
Abstract and Applied Analysis, 2014 We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs).
Hassan A. Zedan, Eman Alaidarous
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New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations
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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A homotopy perturbation algorithm to solve a system of Fredholm–Volterra type integral equations
Mathematical and Computer Modelling, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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American Journal of Computational and Applied Mathematics, 2012 In this paper, the piecewise constant Block-Pulse functions and their operational matrices of integration have directly been used to solve a two-dimensional Fredholm-Volterra integral equation of second kind. This method presents a computational technique through converting this integral equation into a system of linear equations which can be easily ...
K. Maleknejad, K. Mahdiani
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