Shah, KamalJarad, FahdAbdo, Mohammed S.Abdeljawad, Thabet2023-01-162025-09-182023-01-162025-09-182020Abdo, Mohammed S...et al. (2020). "Study of impulsive problems under Mittag-Leffler power law", Heliyon, Vol. 6, No. 10.2405-84400022-47661573-8779https://doi.org/10.1016/j.heliyon.2020.e05109https://hdl.handle.net/20.500.12416/10830Abdo, Mohammed S./0000-0001-9085-324X; Shah, Kamal/0000-0002-8851-4844This 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 TheoremArticle10.1016/j.heliyon.2020.e051092-s2.0-85091964892