Insight into the Fractional Calculus via a Spreadsheet

Insight into the Fractional Calculus via a Spreadsheet

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Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in...

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Main Authors: David A Miller, Stephen J Sugden
Format: Article
Language:English
Published: Bond University
Series:Spreadsheets in Education
Online Access:http://sie.scholasticahq.com/article/4557-insight-into-the-fractional-calculus-via-a-spreadsheet.pdf
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spelling doaj-a6cfbe5ba0374505acb4334cd63d3eeb2020-11-24T21:52:57ZengBond UniversitySpreadsheets in Education1448-6156Insight into the Fractional Calculus via a SpreadsheetDavid A MillerStephen J SugdenMany students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0 2009 HERDC submission. FoR code: 0103http://sie.scholasticahq.com/article/4557-insight-into-the-fractional-calculus-via-a-spreadsheet.pdf
collection DOAJ
language English
format Article
sources DOAJ
author David A Miller
Stephen J Sugden
spellingShingle David A Miller
Stephen J Sugden
Insight into the Fractional Calculus via a Spreadsheet
Spreadsheets in Education
author_facet David A Miller
Stephen J Sugden
author_sort David A Miller
title Insight into the Fractional Calculus via a Spreadsheet
title_short Insight into the Fractional Calculus via a Spreadsheet
title_full Insight into the Fractional Calculus via a Spreadsheet
title_fullStr Insight into the Fractional Calculus via a Spreadsheet
title_full_unstemmed Insight into the Fractional Calculus via a Spreadsheet
title_sort insight into the fractional calculus via a spreadsheet
publisher Bond University
series Spreadsheets in Education
issn 1448-6156
description Many students of calculus are not aware that the calculus they have learned is a special case (integer order) of fractional calculus. Fractional calculus is the study of arbitrary order derivatives and integrals and their applications. The article begins by stating a naive question from a student in a paper by Larson (1974) and establishes, for polynomials and exponential functions, that they can be deformed into their derivative using the μ-th order fractional derivatives for 0 2009 HERDC submission. FoR code: 0103
url http://sie.scholasticahq.com/article/4557-insight-into-the-fractional-calculus-via-a-spreadsheet.pdf
work_keys_str_mv AT davidamiller insightintothefractionalcalculusviaaspreadsheet
AT stephenjsugden insightintothefractionalcalculusviaaspreadsheet
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