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A new Leibniz rule and its integral analogue for fractional derivatives

✍ Scribed by Tremblay, R.; Gaboury, S.; Fugère, B.-J.

Book ID
120212478
Publisher
Taylor and Francis Group
Year
2013
Tongue
English
Weight
227 KB
Volume
24
Category
Article
ISSN
1065-2469

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📜 SIMILAR VOLUMES

A Correction to Leibniz Rule for Fractio
A Correction to Leibniz Rule for Fractional Derivatives
✍ Osler, Thomas J. 📂 Article 📅 1973 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 282 KB

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

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The authors apply certain operators of fractional calculus (that is, integrals and derivatives of arbitrary real or complex order) with a view to evaluating various families of infinite integrals associated with functions of several variables. They also present relevant connections of the infinite i