A Correction to Leibniz Rule for Fractional Derivatives
- 1 May 1973
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 4 (3) , 456-459
- https://doi.org/10.1137/0504040
Abstract
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 justification requires that a new restriction be added to the functions involved. The new restriction, however, is a natural one, and in no way affects applications of the Leibniz rule previously published.Keywords
This publication has 4 references indexed in Scilit:
- A Further Extension of the Leibniz Rule to Fractional Derivatives and Its Relation to Parseval’s FormulaSIAM Journal on Mathematical Analysis, 1972
- Taylor’s Series Generalized for Fractional Derivatives and ApplicationsSIAM Journal on Mathematical Analysis, 1971
- The Fractional Derivative of a Composite FunctionSIAM Journal on Mathematical Analysis, 1970
- Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite SeriesSIAM Journal on Applied Mathematics, 1970