EimanShah, K.Sarwar, M.Baleanu, Dumitru2021-01-282021-01-282020Eiman...at all (2020). "Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1.1687-1847http://hdl.handle.net/20.500.12416/4485This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generalization are also discussed. Two suitable examples are given to demonstrate the results.eninfo:eu-repo/semantics/openAccessKrasnoselskii's Fixed Point TheoremCaputo-Fabrizio Fractional Differential EquationsHyers-Ulam StabilityArticle2020110.1186/s13662-020-02624-x