Fractional multivariate opial type inequalities over spherical shells

Abstract

Here is introduced the concept of multivariate fractional differentiation especially of the fractional radial differentiation, by extending the univariate definition of Canavati. Then we produce Opial type inequalities over compact and convex subsets of ℝRN, N ≥ 2, mainly over spherical shells, studying the problem in all possibilities. Our results involve one, or two, or more functions. © Dynamic Publishers, Inc.

Publication Title

Communications in Applied Analysis

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