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Nonlinear Integro-Differential Equations [PDF]
Journal of Mathematical Extension, 2010 . In this paper,the continuse Legendre wavelets constructed on the interval [0, 1] are used to solve the nonlinear Fredholm integrodifferential equation.
S. Mahdavi∗, M. Tavassoli Kajani
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On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order [PDF]
Mathematics, 2022 In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
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Analysis of stability for stochastic delay integro-differential equations [PDF]
Journal of Inequalities and Applications, 2018 In this paper, we concern stability of numerical methods applied to stochastic delay integro-differential equations. For linear stochastic delay integro-differential equations, it is shown that the mean-square stability is derived by the split-step ...
Yu Zhang, Longsuo Li
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Integro-differential equations with bounded operators in Banach spaces [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
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Extensions of some differential inequalities for fractional integro-differential equations via upper and lower solutions [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2023 This paper deals with some differential inequalities for generalized fractional integro-differential equations by using the technique of upper and lower solutions. The fractional differential operator is taken in Caputo’s sense and the nonlinear
A. Yakar, H. Kutlay
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On Solvability of Integro-Differential Equations [PDF]
Potential Analysis, 2020 AbstractA class of (possibly) degenerate integro-differential equations of parabolic type is considered, which includes the Kolmogorov equations for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces and in Sobolev-Slobodeckij spaces.
Marta De León-Contreras +2 more
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Neural Integro-Differential Equations
Proceedings of the AAAI Conference on Artificial Intelligence, 2023 Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are modeled with Integro-Differential Equations (IDEs); generalizations of differential equations that comprise both an
Emanuele Zappala +6 more
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Fractal and Fractional, 2021 This article is mainly devoted to the study of the existence of solutions for second-order abstract non-autonomous integro-differential evolution equations with infinite state-dependent delay.
Shahram Rezapour +4 more
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Mathematics, 2022 Quadratic integro-differential equations have been discussed in many works, for instance. Some analytic results on the existence and the uniqueness of problem solutions to quadratic integro-differential equations have been investigated in different ...
Ahmed M. A. El-Sayed +2 more
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