Applications of Some Fixed Point Theorems for Fractional Differential Equations With Mittag-Leffler Kernel

Abstract

Using some fixed point theorems for contractive mappings, including α-γ-Geraghty type contraction, α-type F-contraction, and some other contractions in F-metric space, this research intends to investigate the existence of solutions for some Atangana–Baleanu fractional differential equations in the Caputo sense.