Results 11 to 20 of about 748,192 (278)
Neural Integro-Differential Equations [PDF]
Proceedings of the AAAI Conference on Artificial Intelligence, 2022 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.
E. Zappala +6 more
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Nonlinear Integro-Differential Equations
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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A Problem with parameter for the integro-differential equations
Mathematical Modelling and Analysis, 2021 The article proposes a numerically approximate method for solving a boundary value problem for an integro-differential equation with a parameter and considers its convergence, stability, and accuracy. The integro-differential equation with a parameter is
E. Bakirova +2 more
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Ulam Stability of n-th Order Delay Integro-Differential Equations
Mathematics, 2021 In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
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The Bernstein Technique for Integro-Differential Equations [PDF]
Archive for Rational Mechanics and Analysis, 2020 We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, including some convex fully nonlinear ...
X. Cabré, S. Dipierro, E. Valdinoci
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Journal of Ocean Engineering and Science, 2019 Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah +3 more
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Deep learning schemes for parabolic nonlocal integro-differential equations [PDF]
Partial Differential Equations and Applications, 2021 In this paper we consider the numerical approximation of nonlocal integro differential parabolic equations via neural networks. These equations appear in many recent applications, including finance, biology and others, and have been recently studied in ...
Javier Castro
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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 multi-step methods for singular fractional q-integro-differential equations
Open Mathematics, 2021 The objective of this paper is to investigate, by applying the standard Caputo fractional q-derivative of order α \alpha , the existence of solutions for the singular fractional q-integro-differential equation D q α [ k ] ( t ) = Ω ( t , k 1 , k 2 , k 3 ,
Sayyedeh Narges Hajiseyedazizi +3 more
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On the integro‐differential equations with reflection
Mathematical Methods in the Applied Sciences, 2020 In this paper, by developing important properties on the composition of functions with reflection, using some exponential dichotomy properties and an application of the fixed‐point theorem, several new sufficient conditions for the existence and the uniqueness of an pseudo almost automorphic solutions with measure for some general‐type reflection ...
El Hadi Ait Dads +2 more
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