A Numerical Method for Fractional Differential Equations with New Generalized Hattaf Fractional Derivative

Nowadays, fractional derivative is used to model various problems in science and engineering. In this paper, a new numerical method approximate the generalized Hattaf involving nonsingular kernel proposed. This included several forms existing literature such as Caputo–Fabrizio derivative, Atangana–Baleanu weighted derivative. The proposed based on Lagrange polynomial interpolation, it applied solve linear nonlinear differential equations (FDEs). addition, error made during approximation of FDEs using our analyzed. By comparing exact solutions, noticed that very efficient converges quickly solution. Furthermore, also systems virology.