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Browsing by Author "Alobaidi, Ghada"

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    Existence of Solutions and a Numerical Scheme for a Generalized Hybrid Class of N-Coupled Modified Abc-Fractional Differential Equations With an Application
    (Amer inst Mathematical Sciences-aims, 2023) Baleanu, Dumitru; Alobaidi, Ghada; Rehman, Mutti-Ur; Khan, Hasib; Alzabut, Jehad; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    In 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.