The prevalence of the use of mathematical software has dramatically influenced the
evolution of differential equations. The use of these useful tools leads to faster advances in …

The present article deals with certain new and interesting features of fractional blood alcohol
model associated with powerful Hilfer fractional operator. The solution of the model depends …

The SIR epidemic model with delay in the context of the fractional derivative with Mittag–
Leffler kernel has been considered. The Atangana–Baleanu fractional derivative is a non …

Fractional differential mathematical model describing the dynamics of hepatitis B viral
infection with DNA-containing capsids, the liver hepatocytes and the humoral immune …

Active researches on the oceanic water waves have been done. As for the nonlinear and
dispersive long gravity waves in two horizontal directions on the shallow water of an open …

This manuscript is related to investigate analytical solutions to some linear fractional partial
fuzzy differential equations under certain conditions. For the concerned investigation, we …

In this work, a fractional predator-prey model with the harvesting rate is considered. Besides
the existence and uniqueness of the solution to the model, local stability and global stability …

In recent decades, studying the behavior of biological species has become one of the most
fascinating areas of applied mathematics. The high importance of conservation of rare …

The authors' concern of the present paper is to conduct a systematic study on a time-
fractional nonlinear water wave equation which is an evolutionary version of the Boussinesq …

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 …