Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations

Ali, ArshadShah, KamalJarad, FahdGupta, VidushiAbdeljawad, Thabet2020-01-142020-01-142018Ali, Arshad...et al. (2019). "Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equations", Advances in Difference Equations.1687-1847http://hdl.handle.net/20.500.12416/2342In this paper, we study a coupled system of implicit impulsive boundary value problems (IBVPs) of fractional differential equations (FODEs). We use the Schaefer fixed point and Banach contraction theorems to obtain conditions for the existence and uniqueness of positive solutions. We discuss Hyers-Ulam (HU) type stability of the concerned solutions and provide an example for illustration of the obtained results.eninfo:eu-repo/semantics/openAccessCoupled SystemArbitrary Order Differential EquationsImpulsive ConditionsHyers-Ulam StabilityExistence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional-order differential equationsExistence and Stability Analysis To a Coupled System of Implicit Type Impulsive Boundary Value Problems of Fractional-Order Differential EquationsArticle10.1186/s13662-019-2047-y