Ulam Stability for Delay Fractional Differential Equations With a Generalized Caputo Derivative

Abdeljawad, ThabetAmeen, RaadJarad, Fahd2020-04-132025-09-182020-04-132025-09-1820180354-51802406-0933https://doi.org/10.2298/FIL1815265Ahttps://hdl.handle.net/20.500.12416/12357Jarad, Fahd/0000-0002-3303-0623The 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.eninfo:eu-repo/semantics/openAccessGeneralized Caputo Fractional DerivativesUlam-Hyers StabilityUlam-Hyers-Rassias StabilityUlam Stability for Delay Fractional Differential Equations With a Generalized Caputo DerivativeUlam Stability for Delay Fractional Differential Equations with a Generalized Caputo DerivativeArticle10.2298/FIL1815265A2-s2.0-85061452032