In this article we propose a numerical scheme to solve the pantograph equation. The
method consists of expanding the required approximate solution as the elements of the …

We develop the fractional model of stem cell population dynamics with state-dependent and
time-dependent delays. In this model, the stem cell division rate and self-renewal rate are …

In this paper, we present a new simple and effective algorithm for solving generalized
Pantograph equations, delay differential equations with neutral terms and delay differential …

In this paper, a new matrix method based on orthogonal exponential (orthoexponential)
polynomials and collocation points is proposed to solve the high-order linear delay …

We extend for the first time the applicability of the optimal homotopy asymptotic method
(OHAM) to find the algorithm of approximate analytic solution of delay differential equations …

In this study, a practical matrix method based on Laguerre polynomials is presented to solve
the higher‐order linear delay differential equations with constant coefficients and functional …

The Bezier curves are presented to solve the optimal control problem with pantographs
delays. Direct algorithm for solving this problem is given. We have chosen the Bezier curves …

We consider an approximation scheme for systems of linear delay-differential equations of
neutral type. The finite dimensional approximating systems are constructed with basis …

In this paper, a technique generally known as meshless method is presented for solving
fractional partial differential equations (FPDEs). Some physical linear and nonlinear …

In this article, we propose two meshless collocation approaches for solving time dependent
partial differential algebraic equations (PDAEs) in terms of the multiquadric quasi …