In this review, the well-known Bagley–Torvik and Painlevé models (PM), which are special
kinds of differential problems of noninteger order ranks and have a significant role in …

This paper investigates the well-posedness of a class of FSIDEs utilizing the fractional
Caputo–Fabrizio derivative. Herein, the well-posedness proofs are constructed by …

This paper is devoted to the model of Lassa hemorrhagic fever (LHF) disease in pregnant
women. This disease is a biocidal fever and epidemic. LHF disease in pregnant women has …

The pseudo-spectral method is used as a technique to employ the first derivative of the well-
known Legendre polynomials (FDLs) as novel basis functions. Then, the FDLs Gauss …

We introduce new differentiation matrices based on the pseudospectral collocation method.
Monic Chebyshev polynomials (MCPs) were used as trial functions in differentiation …

This paper considers linear and nonlinear fractional delay Volterra integrodifferential
equation of order ρ in the Atangana–Beleanu–Caputo (ABC) sense. We used continuous …

This paper will present a highly efficient technique for solving linear and nonlinear
differential equations. We will use the second derivative of Legendre polynomials as new …

The effects of magnetic field on boundary layer nano-fluid flow over stretching sheet have
been investigated. Different factors affecting the nano-fluid's motion and particles have been …

Legendre polynomials' first derivatives have been used as the basis function via the pseudo-
Galerkin spectral method. Operational matrices for derivatives have been used and …

This article investigates the accuracy of the obtained analytical solutions of the nonlinear
fractional Ostrovsky (NLFO.) equation. The researched solutions are obtained by exploiting …