Fractional calculus is a 300 years topic, which has been introduced to real physics systems
modeling and engineering applications. In the last few decades, fractional-order nonlinear …

Electrospinning is a sophisticated material process to manufacture well-tailored nanofibers
for fiber reinforcement, tissue scaffolding, drug delivery, nanofiltration, cosmetics, and …

In this paper, the multi-step differential transform method (MDTM), one of the most effective
method, is implemented to compute an approximate solution of the system of nonlinear …

Further to a recent controversy on whether the differential transformation method (DTM) for
solving a differential equation is purely and solely the traditional Taylor series method, it is …

The current pandemic situation caused by COVID-19 has affected human life globally at the
economic, social and mental health levels. Specifically, tension has led an increasing …

In this paper, a relatively recent method, namely the Differential Transform Method (DTM), is
applied to devise a simple scheme for solving the Fokker–Planck equation and some similar …

Fractional derivatives appear to be a convenient and effective tool for describing complex
processes, systems, and material characteristics. In this study these mathematical …

This paper aims to develop a fully discrete local discontinuous Galerkin finite element
method for numerical simulation of the time-fractional telegraph equation, where the …

The paper provides a theoretical analysis of some local bifurcations in the fractional Chen
system. Contrary to the integer-order case, basic bifurcation properties of the fractional Chen …

A new method for approximate analytic series solution called multistep Laplace Adomian
Decomposition Method (MLADM) has been proposed for solving the model for HIV infection …