The main goal of this work is to find the solutions of linear and nonlinear fractional
differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical …

In the present article, we related the analytical solution of the fractional-order dispersive
partial differential equations, using the Laplace–Adomian decomposition method. The …

In this paper, we model an ecological system consisting of a predator and two preys with the
newly derived two-step fractional Adams-Bashforth method via the Atangana-Baleanu …

In this paper, we approximate the solution of fractional differential equations using a new
approach of artificial neural network. We consider fractional differential equations of variable …

In this paper, we have considered an analytical solution of the time-fractional wave equation
with the help of the double Laplace transform. With the proposed technique the exact …

In this paper, the approximate solutions of the fractional diffusion equations described by the
fractional derivative operator were investigated. The homotopy perturbation Laplace …

Recently, non-singular fractional operators have a significant role in the modeling of
realworld problems. Specifically, the Caputo-Fabrizio operators are used to study better …

To further capture holding complexities of nature that arise in many fields of science,
technology, and engineering, we suggested in this paper a novel approach of modeling. The …

In this paper, an efficient hybrid numerical scheme which is based on a joint venture of the q-
homotopy analysis method and Sumudu transform is applied to investigate the time …

This article aims to investigate the fractional dispersive partial differential equations (FPDEs)
under non‐singular and non‐local kernels. First, we study the fractional dispersive …