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An Introduction to Differintegrals and Fractional Calculus

Jeeninga, M. (2013) An Introduction to Differintegrals and Fractional Calculus. Bachelor's Thesis, Mathematics.

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Abstract

We attempt to introduce differintegrals and fractional calculus to undergraduates. After a brief history of fractional calculus and some preliminary definitions, the concept of differintegrals is introduced: an operator connecting differentiation and integration. Next we look at the Grünwald-Letnikov and Riemann-Liouville differintegrals, what their construction is based on and what connects them. We will be checking whether some of the regular rules for differentiation still apply for the Riemann-Liouville differintegral and conclude by calculating fractional integrals and fractional derivatives of some basic functions.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:53
Last Modified: 15 Feb 2018 07:53
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/11039

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