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Author: search.filters.author.Ameen, RaadSubject: search.filters.subject.Generalized Caputo Fractional Derivatives

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  • Article
    Citation - WoS: 45
    Citation - Scopus: 51
    Ulam Stability for Delay Fractional Differential Equations With a Generalized Caputo Derivative
    (Univ Nis, Fac Sci Math, 2018) Abdeljawad, Thabet; Ameen, Raad; Jarad, Fahd
    The objective of this paper is to extend Ulam-Hyers stability and Ulam-Hyers-Rassias stability theory to differential equations with delay and in the frame of a certain class of a generalized Caputo fractional derivative with dependence on a kernel function. We discuss the conditions such delay generalized Caputo fractional differential equations should satisfy to be stable in the sense of Ulam-Hyers and Ulam-Hyers-Rassias. To demonstrate our results two examples are presented.