摘要：Using some fixed point theorems for contractive mappings, including α-γ-Geraghty type contraction, α-type F-contraction, and some other contractions in $\mathcal{F}$-metric space, this research intends to investigate the existence of solutions for some Atangana–Baleanu fractional differential equations in the Caputo sense.
关键词：Atangana–Baleanu derivative in the Caputo sense; F-metric space; α-type F-contractive mapping; Atangana–Baleanu fractional operator in the Caputo sense
