Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 270, Issue 1, Pages 66-79Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/S0022-247X(02)00048-3
Keywords
Riemann-Liouville fractional derivatives/integrals local fractional derivatives; local fractional Taylor series
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Local fractional derivative (LFD) operators have been introduced in the recent literature (Chaos 6 (1996) 505-513). Being local in nature these derivatives have proven useful in studying fractional differentiability properties of highly irregular and nowhere differentiable functions. In the present paper we prove Leibniz rule, chain rule for LFD operators. Generalization of directional LFD and multivariable fractional Taylor series to higher orders have been presented. (C) 2002 Elsevier Science (USA). All rights reserved.
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