Baleanu, DumitruAlobaidi, GhadaRehman, Mutti-UrKhan, HasibAlzabut, Jehad2023-12-072025-09-182023-12-072025-09-182023Khan, Hasib...et.al. (2023). "Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application", AIMS Mathematics, Vol.8, No.3, pp.6609-6625.2473-6988https://doi.org/10.3934/math.2023334https://hdl.handle.net/20.500.12416/14111Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Khan, Hasib/0000-0002-7186-8435In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical scheme based on the the Lagrange's interpolation polynomial is established and applied to a dynamical system for the applications. We also study the uniqueness and Hyers-Ulam stability for the solutions of the presumed mABC-FDEs system. Such a system has not been studied for the mentioned mABC-operator and this work generalizes most of the results studied for the ABC operator. This study will provide a base to a large number of dynamical problems for the existence, uniqueness and numerical simulations. The results are compared with the classical results graphically to check the accuracy and applicability of the scheme.eninfo:eu-repo/semantics/openAccessModified Abc-OperatorHybrid Fractional Differential EquationsExistence Of SolutionsUnique SolutionHyers-Ulam-StabilityNumerical SimulationsArticle10.3934/math.20233342-s2.0-85146136907