Fractional euler limits and their applications

Macnamara, S; Henry, B; McLean, W

Fractional euler limits and their applications

Macnamara, S Henry, B McLean, W

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Publication Type:: Journal Article
Citation:: SIAM Journal on Applied Mathematics, 2017, 77 (2), pp. 447 - 469
Issue Date:: 2017-01-01

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Field	Value	Language
dc.contributor.author	Macnamara, S	en_US
dc.contributor.author	Henry, B	en_US
dc.contributor.author	McLean, W	en_US
dc.date.issued	2017-01-01	en_US
dc.identifier.citation	SIAM Journal on Applied Mathematics, 2017, 77 (2), pp. 447 - 469	en_US
dc.identifier.issn	0036-1399	en_US
dc.identifier.uri	http://hdl.handle.net/10453/115219
dc.description.abstract	© 2017 Society for Industrial and Applied Mathematics. Generalizations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connections to fractional master equations are highlighted. An application to the Schlögl reactions with Mittag- Leffler waiting times is described.	en_US
dc.relation.ispartof	SIAM Journal on Applied Mathematics	en_US
dc.relation.isbasedon	10.1137/16M1091861	en_US
dc.subject.classification	Applied Mathematics	en_US
dc.title	Fractional euler limits and their applications	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	77	en_US
utslib.for	0102 Applied Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Science
pubs.organisational-group	/University of Technology Sydney/Faculty of Science/School of Mathematical and Physical Sciences
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	77	en_US

Abstract:

© 2017 Society for Industrial and Applied Mathematics. Generalizations of the classical Euler formula to the setting of fractional calculus are discussed. Compound interest and fractional compound interest serve as motivation. Connections to fractional master equations are highlighted. An application to the Schlögl reactions with Mittag- Leffler waiting times is described.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/115219