Abstract Neural Ordinary Differential Equations model dynamical systems with ODEs
learned by neural networks. However, ODEs are fundamentally inadequate to model …

In this article, we extend the Laplace transform method to obtain analytic solutions for linear
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …

In this paper, we focus on investigating the performance of the mathematical software
program Maple and the programming language MATLAB when using these respective …

Fractional order differential equations often possess inherent symmetries that play a crucial
role in governing their dynamics in a variety of scientific fields. In this work, we consider …

In this paper we develop an approach for obtaining the solutions to systems of linear
retarded and neutral delay differential equations. Our analytical approach is based on the …

In this paper, we study semi-Hyers–Ulam–Rassias stability and generalized semi-Hyers–
Ulam–Rassias stability of differential equations x′ t+ xt− 1= ft and x ″t+ x′ t− 1= ft, xt= 0 if …

This study developed three semi-analytical algorithms to solve nonlinear delay Volterra and
delay Fredholm-Volterra integrodifferential equations under initial conditions. These …

In this paper, we propose a methodology for computing the analytic solutions of linear
retarded delay-differential equations and neutral delay-differential equations that include …

This study aims to examine the oscillatory behavior of third-order differential equations
involving various delays within the context of functional differential equations of the neutral …

This study investigates the use of the Laplace transform method to resolve a particular class
of second-order linear initial-value neutral delay differential equations, which are prevalent …