Subramanian, MuthaiahBaleanu, Dumitru2023-01-122023-01-122020Subramanian, Muthaiah; Baleanu, Dumitru (2020). "Stability and existence analysis to a coupled system of caputo type fractional differential equations with Erdelyi-Kober integral boundary conditions", Applied Mathematics and Information Sciences, Vol. 14, No. 3, pp. 415-424.1935-0090http://hdl.handle.net/20.500.12416/6056This article focuses on the Hyers-Ulam type stability, existence and uniqueness of solutions for new types of coupled boundary value problems involving fractional differential equations of Caputo type and augmented with Erdelyi-Kober fractional integral boundary conditions. The nonlinearity relies on the unknown functions. The consequence of the existence is obtained through the Leray-Schauder alternative, whereas the uniqueness of the solution relies on the Banach contraction mapping principle.We analyze the stability of the solutions concerned in the Hyers-Ulam form. As an application, some examples are presented to illustrate the main results. Finally, some variants of the problem are addressed.eninfo:eu-repo/semantics/closedAccessCaputo DerivativesCoupled SystemErdelyi-Kober Fractional IntegralExistenceFixed PointStabilityArticle14341542410.18576/AMIS/140307