fixed point theory

Dynamics of enzyme kinetic model under the new generalized Hattaf fractional derivative

Catalytic action is one of the most important characteristics of enzymes in chemical reactions.  In this article, we propose and study a mathematical model of chemical kinetic reaction with the memory effect using the new generalized Hattaf fractional derivative.  The existence and uniqueness of the solutions are established by means of fixed point theory and, finally, to support the theoretical results, we end the article with the results of numerical simulations based on a novel numerical scheme that includes the Euler method.