Abdeljawad, ThabetAbdo, Mohammed S.Jarad, FahdAbdeljawad, ThabetShah, KamalJarad, Fahd2023-01-162023-01-162020Abdo, Mohammed S...et al. (2020). "Study of impulsive problems under Mittag-Leffler power law", Heliyon, Vol. 6, No. 10.2405-8440https://hdl.handle.net/20.500.12416/6072his article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.eninfo:eu-repo/semantics/openAccessMathematicsFractional Impulsive ProblemsAtangana-Baleanu-Caputo OperatorExistence TheoryFixed Point TheoremArticle61010.1016/j.heliyon.2020.e05109