Fractional calculus of periodic distributions
Khan, Khaula Naeem and Lamb, Wilson and Mcbride, Adam (2011) Fractional calculus of periodic distributions. Fractional Calculus and Applied Analysis, 14 (2). pp. 260-283. ISSN 1314-2224
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Abstract
Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier series. The second is based on the Gr¨unwald-Letnikov formula for defining a fractional derivative as a limit of a fractional difference quotient. The equivalence of the two approaches is established and an application to a fractional diffusion equation, posed in a space of periodic distributions, is also discusse
Creators(s): |
Khan, Khaula Naeem, Lamb, Wilson ![]() | Item type: | Article |
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ID code: | 30368 |
Notes: | changed journal title |
Keywords: | fractional derivatives, distributions, fractional integrals, Probabilities. Mathematical statistics |
Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 08 Apr 2011 12:15 |
Last modified: | 01 Jan 2021 09:44 |
URI: | https://strathprints.strath.ac.uk/id/eprint/30368 |
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