Almalahi, Mohammed A.Jarad, FahdPanchal, Satish K.Aljaaidi, Tariq A.Jarad, FahdMatematik2024-04-252024-04-252022Almalahi, Mohammed A.;...et.al. (2022). "New results for a coupled system of abr fractional differential equations with sub-strip boundary conditions", AIMS Mathematics, Vol.7, No.3, pp.4386-4404.2473-6988https://doi.org/10.3934/math.2022244Aljaaidi, Tariq A./0000-0003-4316-5895; Almalahi, Mohammed. A./0000-0001-5719-086XIn 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.eninfo:eu-repo/semantics/openAccessSub-Strip Boundary ConditionsCoupled SystemExistenceFixed Point TheoremArticle734386440410.3934/math.20222442-s2.0-85121361599WOS:000753846000011Q1Q1