THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Jun Wang

,

Yue Hu

ON CHAIN RULE IN FRACTIONAL CALCULUS

ABSTRACT
Chain rule plays an important role in fractional calculus. There are many definitions of fractional derivative, and this paper shows that the chain rule is invalid for Jumarie's modification of Riemann-Liouville definition.
KEYWORDS
time-fractional Kuramoto-Sivashinsky equation, exact solution, tanh-sech method, nanometer scale
PAPER SUBMITTED: 2015-12-10
PAPER REVISED: 2016-02-04
PAPER ACCEPTED: 2016-02-05
PUBLISHED ONLINE: 2016-08-13
DOI REFERENCE: https://doi.org/10.2298/TSCI1603803W
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Issue 3, PAGES [803 - 806]
REFERENCES
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On chain rule in fractional calculus

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence