Physical and biogeochemical heterogeneity dramatically impacts fluid flow and reactive
solute transport behaviors in geological formations across scales. From micro pores to …

We present a fractional-order epidemic model for childhood diseases with the new fractional
derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian …

This paper deals with approximating the time fractional Tricomi-type model in the sense of
the Caputo derivative. The model is often adopted for describing the anomalous process of …

Bisphenol A (BPA) is a toxic endocrine disruptor often found in landfill leachate. Adsorption
behaviors and mechanisms of BPA onto organo-bentonites amended loess, eg …

Modelling for many physical phenomena is greatly influenced by the usage of a fractional
operator involving Mittag–Leffler function. The current investigation is concerned with an …

This paper develops the solution of the two-dimensional time fractional evolution model
using finite difference scheme derived from radial basis function (RBF-FD) method. In this …

The fractional reaction-diffusion equation has an important physical and theoretical
meaning, but its analytical solution poses considerable problems. This paper develops an …

The fractional advection–diffusion equation, known as non-local diffusion, is a relationship
utilized in groundwater hydrology as a reliable means of modeling the transport of passive …

The cable equation is one useful description for modeling phenomena such as neuronal
dynamics and electrophysiology. The time-fractional cable model (TFCM) generalizes the …

This paper aimed at obtaining the traveling-wave solution of the nonlinear time fractional
regularized long-wave equation. In this approach, firstly, the time fractional derivative is …