Mittag–Leffler–Hyers–Ulam stability of Atangana-Baleanu Caputo fractional differential equations with nonlinear terms

Abstract

In this paper, we present and analyze two novel results concerningtheMittag-Leffler-Ulam-HyersstabilityofAtangana-BaleanuCaputo fractional differential equations with a nonlinear term. With respect to the Chebyshev norm, we prove Mittag-Leffler-Hyers-Ulam stability of these equations using the fixed-point approach. In each section,examplesareprovidedtodemonstratethereliabilityandrelevanceoftheconclusionsobtained,emphasizingthestabilityandbehavior of the Atangana-Baleanu Caputo fractional differential equations under the given circumstances.