The aim is to explore a COVID-19 SEIR model involving Atangana-Baleanu Caputo type (ABC) fractional derivatives. Existence, uniqueness, positivity, and boundedness of the solutions for are established. Some stability results proposed system also presented. Numerical simulations obtained in this paper, according real data, show that more suitable disease evolution.

A reaction-diffusion system can be represented by the Gray-Scott model. In this study, we discuss a one-dimensional time-fractional model with Liouville-Caputo, Caputo-Fabrizio-Caputo, and Atangana-Baleanu-Caputo fractional derivatives. We utilize homotopy analysis transformation method to obtain approximate solutions for This gives more realistic series of that converge rapidly exact solution....

In this effort, we propose a new fractional differential operator in the open unit disk. The is an extension of Atangana-Baleanu without singular kernel. We suggest it for normalized class analytic functions By employing extended operator, study time-2-D space heat equation and optimizing its solution by chaotic function.

In this manuscript, the novel auxiliary equation methodology (NAEM) is employed to scrutinize various forms of solitary wave solutions for modified equal-width (MEW) equation. M-truncated along with Atangana–Baleanu (AB)-fractional derivatives are study soliton problem. The fractional MEW equations important describing hydro-magnetic waves in cold plasma. A comparative analysis utilized influen...