Results 31 to 40 of about 108,595 (265)
CoRR, 2022 16 + 26 pages, 18 figures and 10 tables. v5: Some additional experiments have been performed, some explanations and reference added. Article published on Nature Machine Intelligence with the more descriptive title: "Learning integral operators via neural integral equations"
Zappala, Emanuele +6 more
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A New Integral Transform for Solving Integral and Ordinary Differential Equations [PDF]
Mathematics and Computational SciencesIn this research paper, we introduce a new transform belonging to the class of Laplace transforms, called the Yasser-Jassim Transform (YJ Transform). We explore its properties and compare it to the classical Laplace transform.
Mohammed Yasser, Hassan Jassim
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New integral equation approach to solution of diffusion equation
Computer Assisted Methods in Engineering and Science, 2023 The paper concerns the theoretical derivation of a new formulation for solution of the initial-boundary value problems for the diffusion equation. The global and local integral equations are derived by using the fundamental solution for the Laplace ...
Vladimίr Sladek +2 more
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On the Integral Equation Arising in the Biological Model After the Power-3 Closure
Современные информационные технологии и IT-образование, 2019 This article is devoted to the nonlinear integral equation arising in the biological model of Ulf Dieckmann and Richard Low. A brief review of the model of foreign authors Individual-based model is made, the meaning and necessity of introducing spatial ...
Serafim R. Gadzhiev, Alexey A. Nikitin
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Demonstratio Mathematica, 2021 In this work, we study the existence of one and exactly one solution x∈C[0,1]x\in C\left[0,1], for a delay quadratic integral equation of Volterra-Stieltjes type.
El-Sayed Ahmed M. A., Omar Yasmin M. Y.
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Legendre wavelets technique for special Initial-Value problem for the quarter plain of heat transfer [PDF]
Mathematics and Computational Sciences, 2020 In this paper we have solved the heat transfer equation by means of the Volterra integral equation and Legendre Wavelets. Since, due to numerical facts, solution of the related partial differential equation is difficult, thus we have applied integral ...
Bahman Babayar-Razlighi, Mehdi Solaimani
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Advances in Difference Equations, 2018 The aim of this work is to establish a new fixed point theorem for generalized contraction mappings with respect to w-distances in complete metric spaces. An illustrative example is provided to advocate the usability of our results.
Hassen Aydi +2 more
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A Grassmann integral equation [PDF]
Journal of Mathematical Physics, 2003 The present study introduces and investigates a new type of equation which is called Grassmann integral equation in analogy to integral equations studied in real analysis. A Grassmann integral equation is an equation which involves Grassmann (Berezin) integrations and which is to be obeyed by an unknown function over a (finite-dimensional) Grassmann ...
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Contractions of Integrable Equations [PDF]
International Journal of Modern Physics A, 1997 The contraction is applied to obtaining of integrable systems associated with nonsemisimple algebras. The effect of contraction is splitting off some components from initial system without loss of integrability.
Gromov, N. A. +2 more
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On Solutions of a Nonlinear Erdélyi-Kober Integral Equation
Abstract and Applied Analysis, 2014 We conduct some investigations concerning the solvability of a nonlinear integral equation of Erdélyi-Kober type. To facilitate our study we will first consider a nonlinear integral equation of Volterra-Stieltjes type.
Nurgali K. Ashirbayev +2 more
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