RT journal article T1 Nonlocal operators are chaotic A1 Lizama, Carlos A1 Murillo Arcila, Marina A1 Peris, A. A2 Matemáticas K1 Nonlocal operators K1 Toeplitz operators K1 Chaos K1 time stepping schemes K1 transference principle AB We characterize for the  first time the chaotic behavior of nonlocal operators that comefrom a broad class of time stepping schemes of approximation for fractional differential operators.For that purpose, we use criteria for chaos of Toeplitz operators in Lebesgue spaces of sequences.Surprisingly, this characterization is proved to be - in some cases - dependent of the fractional orderof the operator and the step size of the scheme PB AIP SN 1089-7682 YR 2020 FD 2020 LK http://hdl.handle.net/10498/35361 UL http://hdl.handle.net/10498/35361 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026