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: | https://fse.studenttheses.ub.rug.nl/id/eprint/11039 |
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