Results 111 to 120 of about 113,253 (227)

Morgan-Voyce Polynomial Approach for Ordinary Integro-Differential Equations Including Variable Bounds

, 2021
Mustafa Özel, Mehmet Tarakçı, Mehmet Sezer   +2 more
openalex   +2 more sources

Periodic solutions of integro-differential equations in Banach space having Fourier type

, 2017
The aim of this work is to study the existence of a periodic solutions of integro-differential equations d dt [x(t)-- L(x t)] = A[x(t)-- L(x t)]+ G(x t)+ t --$\infty$ a(t-- s)x(s)ds+ f (t), (0 $\le$ t $\le$ 2$\pi$) with the periodic condition x(0) = x(2$\
Rachid, Bahloul
core  

About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations [PDF]

, 2013
Yakov Goltser, Alexander Domoshnitsky
openalex   +1 more source

Existence and stability analysis of a problem of the Caputo fractional derivative with mixed conditions

AIMS Mathematics
Recently, initial-boundary-value problems with the Caputo fractional derivative for ordinary differential equations have been intensively studied. This paper studies a nonlinear integro-differential equation of fractional order, containing a composition ...
Naimi Abdellouahab, Keltum Bouhali, Loay Alkhalifa, Khaled Zennir   +3 more
doaj   +1 more source

Exploring New Traveling Wave Solutions to the Nonlinear Integro-Partial Differential Equations with Stability and Modulation Instability in Industrial Engineering

Computation
In this research article, we demonstrate the generalized expansion method to investigate nonlinear integro-partial differential equations via an efficient mathematical method for generating abundant exact solutions for two types of applicable nonlinear ...
J. R. M. Borhan, I. Abouelfarag, K. El-Rashidy, M. Mamun Miah, M. Ashik Iqbal, Mohammad Kanan   +5 more
doaj   +1 more source

Evolution of physics-informed neural networks: Recent architectural variants and optimization strategies

Array
Physics-Informed Neural Networks (PINNs) are a machine learning technique that directly incorporates the governing physics of problems, such as partial differential equations (PDEs) and ordinary differential equations (ODEs), into the neural network ...
Ahmad, Husna Zafar, Aneeqa Zafar, Muhammad Noveel Sadiq, A.K. Awasthi, Homan Emadifar, Karim K. Ahmed   +6 more
doaj   +1 more source

Inverse problem for an ordinary integro-differential equation with degenerate kernel and nonlocal integral conditions

, 2016
T. K. Yuldashev
openalex   +2 more sources

Haar wavelets method for solving class of coupled systems of linear fractional Fredholm integro-differential equations. [PDF]

Heliyon, 2023
Darweesh A, Al-Khaled K, Al-Yaqeen OA.
europepmc   +1 more source

Noncommutative operational calculus

Electronic Journal of Differential Equations, 1999
Oliver Heaviside's operational calculus was placed on a rigorous mathematical basis by Jan Mikusinski, who constructed an algebraic setting for the operational methods.
Henry E. Heatherly, Jason P. Huffman
doaj  

Well-Posedness of Boundary-Value Problems for Conditionally Well-Posed Integro-Differential Equations and Polynomial Approximations of Their Solutions

Journal of Mathematical Sciences, 2023
Yu. R. Agachev, M. Y. Pershagin
semanticscholar   +1 more source