Application of Picard's method to Cauchy problem solution to some fractional differential equations

N. A. Antonov

Lomonosov Moscow State University

Abstract: In this paper, we apply the Picard method for solving the Cauchy problem for some fractional differential equations with Atangana–Baleanu fractional derivative. An iterative scheme is derived and its convergence is proved.

Keywords: fractional differential equation, Atangana–Baleanu fractional derivative, Picard method

UDC: 517.9

MSC: 34A08

DOI: 10.36535/2782-4438-2025-243-5-10