This paper is concerned with a generalization of a functional differential equation known as
the pantograph equation which contains a linear functional argument. In this article, a new …

In this paper, we introduce two different methods based on Gegenbauer wavelet and
Bernoulli wavelet for the solution of neutral delay differential equations. These methods …

The current study provides numerical solutions to the human balancing system using novel
framework-based artificial neural networks and the hybrid competency of global heuristic …

In the present study, some perturbation methods are applied to Duffing equations having a
displacement time-delayed variable to study the stability of such systems. Two approaches …

In this paper, a new analytical technique, namely the optimal perturbation iteration method,
is presented and applied to delay differential equations to find an efficient algorithm for their …

In this paper, we proposed wavelet based collocation methods for solving neutral delay
differential equations. We use Legendre wavelet, Hermite wavelet, Chebyshev wavelet and …

The pantograph equation is a special type of functional differential equations with
proportional delay. The present study introduces a compound technique incorporating the …

In the present work, the version of homotopy perturbation included time-scales is applied to
the governing equation of time-periodic delay Mathieu equation. Periodical structure for the …

This paper suggests a novel multi-parametric homotopy method for systems of Fredholm
integral equations. This modified method contains three convergence-control parameters to …

A collocation method is proposed to obtain an approximate solution of a system of multi
pantograph type delay differential equations with variable coefficients subject to the initial …