Titlebook: Constructive Fractional Analysis with Applications; George A. Anastassiou Book 2021 The Editor(s) (if applicable) and The Author(s), under

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https://doi.org/10.1007/978-3-540-77883-7We derive uniform and . right Caputo–Bochner abstract sequential fractional Landau inequalities over .. These estimate the size of second and third iterated right abstract fractional derivatives of a Banach space valued function over ..

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https://doi.org/10.1007/978-3-540-77883-7We present several high order abstract generalized Landau type inequalities involving the uniform and . norms. We mention also applications. Our estimates give best upper bounds. It follows [.].

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https://doi.org/10.1007/978-3-540-77883-7Based on author’s first ever found multivariate fractional Taylor’s formula ([.], Chap.?12), we develop and prove several multivariate left side Canavati fractional uniform Landau type inequalities. It follows [.].

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Variable Order General Fractional Integral Inequalities,Here are introduced abstract left and right Riemann-Liouville generalized fractional Bochner integral operators of variable order acting over Banach space valued functions. Also are introduced abstract weighted Caputo type left and right fractional derivatives of variable order.