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- W2762863199 abstract "In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional differential equations with non-instantaneous integral impulses and nonlinear integral boundary condition. We also establish certain conditions for the existence and uniqueness of solutions for such a class of fractional differential equations using Caputo fractional derivative. The arguments are based on generalized Diaz-Margolis’s fixed point theorem. We provide two examples, which shows the validity of our main results." @default.
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- W2762863199 date "2017-10-10" @default.
- W2762863199 modified "2023-10-17" @default.
- W2762863199 title "Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition" @default.
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- W2762863199 doi "https://doi.org/10.1186/s13662-017-1376-y" @default.
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