Here we introduce the concept of multivariate Canavati fractional differentiation especially of the fractional radial differentiation, by extending the univariate definition of [101]. Then we present Opial-type inequalities over compact and convex subsets of ℝN, N ≥ 2, mainly over spherical shells, studying the problem in all possibilities. Our results involve one, two, or more functions. This treatment is based on [44].
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© 2009 Springer-Verlag New York
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Anastassiou, G.A. (2009). Canavati Fractional Multivariate Opial–Type Inequalities on Spherical Shells. In: Fractional Differentiation Inequalities. Springer, New York, NY. https://doi.org/10.1007/978-0-387-98128-4_14
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DOI: https://doi.org/10.1007/978-0-387-98128-4_14
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