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Browsing by Author "Aljaaidi, Tariq A."

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    New results for a coupled system of abr fractional differential equations with sub-strip boundary conditions
    (Amer inst Mathematical Sciences-aims, 2022) Almalahi, Mohammed A.; Jarad, Fahd; Panchal, Satish K.; Aljaaidi, Tariq A.; Jarad, Fahd; 234808; Matematik
    In this article, we investigate sufficient conditions for the existence, uniqueness and UlamHyers (UH) stability of solutions to a new system of nonlinear ABR fractional derivative of order 1 < e <= 2 subjected to multi-point sub-strip boundary conditions. We discuss the existence and uniqueness of solutions with the assistance of Leray-Schauder alternative theorem and Banach's contraction principle. In addition, by using some mathematical techniques, we examine the stability results of Ulam-Hyers (UH). Finally, we provide one example in order to show the validity of our results.