In this paper, we present analytical solutions for linear and nonlinear neutral Caputo-
fractional pantograph differential equations. An attractive new method we called the Laplace …

The main purpose of this article is to investigate a novel set of (orthogonal) basis functions
for treating a class of multi-order fractional pantograph differential equations (MOFPDEs) …

In this article, we develop a new set of functions called fractional-order Alpert multiwavelet
functions to obtain the numerical solution of fractional pantograph differential equations …

In this paper, we investigate the possible treatment of a class of fractional-order delay
differential equations. In delay differential equations, the evolution of the state depends on …

In this paper, we approximate the solution of fractional Bagley–Torvik equation by using the
exponential spline function and the shifted Grünwald difference operator. The proposed …

In this paper, a nonclassical sinc collocation method is constructed for the numerical solution
of systems of second-order integro-differential equations of the Volterra and Fredholm types …

In this study, a new class of sequential fractional differential problems of pantograph type is
introduced. New existence and uniqueness criteria for the existence and uniqueness of …

In this paper, we approximate the solution of fractional Painlevé and Bagley-Torvik
equations in the Conformable (Co), Caputo (C), and Caputo-Fabrizio (CF) fractional …

In this study, we have introduced a fractional series solution method to solve fractional
pantograph differential equations numerically. The method is constructed by collocation …

This paper proposes a new operational numerical method based on Touchard wavelets for
solving fractional pantograph differential equations. First, we present an operational matrix …