New mathematical modelings of the human liver and hearing loss systems with fractional derivatives

Abstract

Fractional derivatives are significant mathematical instruments that have been practiced to model real phenomena in different areas of science. Through the current investigation study, we develop the Human Liver and Hearing Loss models by employing three fractional operators called Atangana–Baleanu–Caputo, Caputo and Caputo–Fabrizio derivatives. The numerical techniques regarding the basic theories of fractional analysis considered to obtain the approximate solutions of the offered systems. Indeed, approximate results are presented for showing the efficacy of the methods during graphs of solutions. To see the performance of the suggested models, different fractional orders are tested.