The purpose of this paper is to prove some classical estimates for fractional derivatives of functions defined on a Coifman-Weiss space of homogeneous type, in particular the product rule and chain rule estimates in (T.
Product rule for vector fractional derivatives
β Scribed by Diogo Bolster, Mark M. Meerschaert, Alla Sikorskii
- Book ID
- 115064274
- Publisher
- SP Versita
- Year
- 2012
- Tongue
- English
- Weight
- 218 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1311-0454
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π SIMILAR VOLUMES
This paper calls attention to an error in the proofs of various extensions of the "Leibniz rule" for the fractional derivative of the product of two functions published previously by the author. The error occurs at a step where integration and summation must be interchanged, and justified. The justi
An automatic quadrature method is presented for approximating fractional derivative D q f (x) of a given function f (x), which is defined by an indefinite integral involving f (x). The present method interpolates f (x) in terms of the Chebyshev polynomials in the range [0, 1] to approximate the frac