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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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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 Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics. [PDF]

CPT Pharmacometrics Syst Pharmacol
Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Wu Z, Luo P, Chen R, Liu Y, Jian W, Zhou T.   +5 more
europepmc   +2 more sources

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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An efficient spline technique for solving time-fractional integro-differential equations. [PDF]

Heliyon, 2023
Abbas M, Aslam S, Abdullah FA, Riaz MB, Gepreel KA.   +4 more
europepmc   +3 more sources

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
doaj   +3 more sources

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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UniFIDES: Universal fractional integro-differential equations solver

APL Machine Learning
The development of data-driven approaches for solving differential equations has led to numerous applications in science and engineering across many disciplines and remains a central focus of active scientific inquiry.
Milad Saadat, Deepak Mangal, Safa Jamali
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On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

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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A Note on Existence of Mild Solutions for Second-Order Neutral Integro-Differential Evolution Equations with State-Dependent Delay

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, Hernán R. Henríquez, Velusamy Vijayakumar, Kottakkaran Sooppy Nisar, Anurag Shukla   +4 more
doaj   +1 more source