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Stability analysis of a nonlocal fractional impulsive coupled evolution differential equation
Manzoor Ahmad,Akbar Zada,Jiafa Xu,Wei Dong
Keywords:Caputo fractional derivative; Hyers--Ulam stability; impulsive switched coupled system
Abstract:
      This work is committed for establishing some necessary assumptions for the existence of at least one solution of a non local coupled impulsive fractional differential equations. We utilize the Kransnoselskii"s fixed point theorem for our results. We also study the Hyers--Ulam stability of the considered problem. We provide an example for the illustration of our main result.