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, a new, attractive method is used to solve fractional neutral pantograph
equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA …

In the present paper, we developed the functional matrix of integration via Bernoulli wavelets
and generated a competent numerical scheme to solve the nonlinear system of singular …

This paper presents an explicit formula that approximates the fractional derivatives of
Chebyshev polynomials of the first-kind in the Caputo sense. The new expression is given in …

This study focuses on the flow of viscous, electrically conducting incompressible fluid over a
stretching plate. The Falkner–Skan equation is a nonlinear, third-order boundary value …

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 …

This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …

In this paper, we consider a new fractional function based on Legendre and Laguerre
polynomials for solving a class of linear and nonlinear time-space fractional partial …

Due to the rapid development of theoretical and computational techniques in the recent
years, the role of nonlinearity in dynamical systems has attracted increasing interest and has …