Results 11 to 20 of about 113,253 (227)

Averaging method in optimal control problems for integro-differential equations

Open Mathematics
The averaging method is applied to the study of optimal control problems for systems of integro-differential equations with rapidly oscillating coefficients and a small parameter.
Lakhva Roksolana, Uteshova Roza, Stanzhytskyi Oleksandr, Mogylova Viktoria   +3 more
doaj   +2 more sources

Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

Advances in Difference Equations, 2020
In the present work, a numerical technique for solving a general form of nonlinear fractional order integro-differential equations (GNFIDEs) with linear functional arguments using Chebyshev series is presented.
Khalid K. Ali, Mohamed A. Abd El Salam, Emad M. H. Mohamed, Bessem Samet, Sunil Kumar, M. S. Osman   +5 more
doaj   +2 more sources

Integro perturbation method for ordinary differential equations [PDF]

Journal of Mathematical Problems, Equations and Statistics
Mehmet Pakdemi̇rli̇
openalex   +2 more sources

Periodic Boundary Value Problem for Nonlinear First Order Integro-Ordinary Differential Equations

, 2000
Juan J. Nieto, Eduardo Liz, Daniel Franco   +2 more
openaire   +2 more sources

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

Effect of non-stationary external forces on vibrations of composite pipelines conveying fluid [PDF]

E3S Web of Conferences, 2023
The effect of non-stationary external forces on the vibration of pipelines made of composite materials is investigated in the paper. A mathematical model of composite pipeline vibration is developed, considering the viscosity properties of the structure ...
Verlan A.A., Khudayarov B.A., Turaev F.Zh., Yuldashev N.N., Ruzmetov K.   +4 more
doaj   +1 more source

Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Advances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem, Doha Mahmoud, Dumitru Baleanu, Mamdouh El-kady   +3 more
doaj   +1 more source

Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations

Discrete Dynamics in Nature and Society, 2021
Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
doaj   +1 more source

A Procedure for Factoring and Solving Nonlocal Boundary Value Problems for a Type of Linear Integro-Differential Equations

Algorithms, 2021
The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas, Ioannis Nestorios Parasidis   +1 more
doaj   +1 more source

Bending-torsional vibrations of aircraft wing [PDF]

E3S Web of Conferences, 2023
The problems of bending-torsional flutter of an aircraft wing are considered. Using equations of motion by the Bubnov-Galerkin method, based on the polynomial approximation of deflections and angle of twist, the problem is reduced to studying a system of
Khudayarov B. A., Ruzmetov K. Sh., Turaev F. Zh., Komilova Kh. M., Kuralov B. A.   +4 more
doaj   +1 more source