Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions

SaminaShah, KamalKhan, Rahmat AliBaleanu, Dumitru2020-02-182020-02-182019Samina; Shah...et al. (2019). "Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 42, No. 6, pp. 2033-2042.0170-4214http://hdl.handle.net/20.500.12416/2484In this paper, the first purpose is to study existence and uniqueness of solutions to a system of implicit fractional differential equations (IFDEs) equipped with antiperiodic boundary conditions (BCs). To obtain the mentioned results, we use Schauder's and Banach fixed point theorem. The second purpose is discussing the Ulam-Hyers (UH) and generalized Ulam-Hyers (GUH) stabilities for the respective solutions. An example is provided to illustrate the established results.eninfo:eu-repo/semantics/closedAccessAntiperiodic Boundary ConditionsExistence and Uniqueness of SolutionsGreen's FunctionSchauder's Fixed Point TheoremsUlam-Hyers StabilityStudy of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditionsStudy of Implicit Type Coupled System of Non-Integer Order Differential Equations With Antiperiodic Boundary ConditionsArticle4262033204210.1002/mma.5496