Fractal calculus is very simple but extremely effective to deal with phenomena in hierarchical
or porous media. Its operation is almost same with that by the advanced calculus, making it …

The work is intended to summarize the recent progress in the work of fractal theory in
packaging material to provide important insights into applied research on fractal in …

We presented an analysis of evolutions equations generated by three fractional derivatives
namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional …

This chapter presents an attempt to collate existing data about fractional derivatives with non-
singular kernels conceived by Caputo and Fabrizio in 2015. The idea attracted immediately …

In the present study, an epidemiological model (MSEIR) of varicella disease outbreak, also
called the chickenpox, among school children in the Shenzhen city of China in 2015 is …

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 this paper, schistosomiasis fractional order dynamic model is examined via exponential
law kernel sense and Mittag-Leffler kernel in Liouville–Caputo sense. Some special …

In this research, a comparative study of modern differentiations based on singular versus
non-singular and local versus non-local kernels have been analyzed for Walter'sB liquid. In …

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 …

This paper proposes fractional-order systems for Hopfield Neural Network (HNN). The so-
called Predictor–Corrector Adams–Bashforth–Moulton Method (PCABMM) has been …