In this work, we introduce ABC-Caputo operator with ML kernel and its main characteristics
are discussed. Viral diseases models for AIDS and Zika are considered, and finally, as third …

This paper studies the analytical, semi-analytical, and numerical solutions of the Cahn–Allen
equation, which plays a vital role in describing the structure of the dynamics for phase …

The main aim of the current article is considering a nonlinear time‐fractional Cauchy
reaction–diffusion equation with the Mittag–Leffler law and deriving its approximate …

In this article, a plant-nectar-pollinator (PNP) model has been generalized involving
Atangana-Baleanu fractional-order derivative. This new kind of derivative provide us …

Abstract Systems of ordinary differential equations play an important role in analyzing the
dynamics for real world situations such as cell signaling pathways, population growth …

This study is concerned with finding numerical solutions of nonlinear delay differential
equations involving extended Mittag-Leffler fractional derivatives of the Caputo-type. The …

Fractional advection-diffusion equations have demonstrated to be a powerful tool in
modeling complex anomalous diffusion in applied science. In this paper, we studied novel …

This work investigates a fractional Susceptible Infected Recovered (SIR) model to study
childhood disease. We analyzed the proposed model by applying Caputo, Caputo–Fabrizio …

This work investigates the generalised time-fractional Cattaneo model. The homotopy
perturbation transform technique is used to get the numerical solution of this model. The …

In this paper, we present a fourth-order difference scheme for solving the Allen-Cahn
equation in both 1D and 2D. The proposed scheme is described by the compact difference …