Applications of some fixed point theorems for fractional differential equations with Mittag-Leffler kernel

Abstract

Abstract Using some fixed point theorems for contractive mappings, including α - γ -Geraghty type contraction, α -type F -contraction, and some other contractions in $\mathcal{F}$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>F</mml:mi></mml:math> -metric space, this research intends to investigate the existence of solutions for some Atangana–Baleanu fractional differential equations in the Caputo sense.

Topics & Concepts