A fractional-order predator–prey biological economic system with Holling type II functional
response is proposed. Local stability and Hopf bifurcation of predator–prey systems have …

In this paper, we develop a new, simple, and accurate scheme to obtain approximate
solution for nonlinear differential equation in the sense of Caputo‐Fabrizio operator. To …

This study presents an optimized algorithm of the predictor-corrector approaches for the
numerical simulation of initial value problems consisting of nonlinear fractional differential …

This article constructs a new two‐level explicit/implicit numerical scheme in an approximate
solution for the two‐dimensional time fractional mobile/immobile advection‐dispersion …

In this paper, a weighted and shifted Grünwald-Letnikov difference (WSGD) Legendre
spectral method is proposed to solve the two-dimensional nonlinear time fractional …

A second-order predictor-corrector method of Nguyen and Jang (Fract. Calc. Appl. Anal. 20
(2), 447–476,) is generalised to graded meshes to solve nonlinear fractional initial-value …

In this paper, we focus on the computation of Caputo-type fractional differential equations. A
high-order predictor–corrector method is derived by applying the quadratic interpolation …

In this paper a new method called the least squares differential quadrature method (LSDQM)
is introduced as a straightforward and efficient method to compute analytical approximate …

We introduce a high-order numerical scheme for fractional ordinary differential equations
with the Caputo derivative. The method is developed by dividing the domain into a number …

Due to the potential decrease of the computation time for problems with fractional order
derivatives, and due to the extension of the range of applicable solvers for a given problem …