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The fractional quantum derivative and its integral representations

✍ Scribed by Manuel Duarte Ortigueira

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
183 KB
Volume
15
Category
Article
ISSN
1007-5704

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✦ Synopsis

The quantum fractional derivative is defined using formulations analogue to the common GrΓΌnwald-Letnikov derivatives. While these use a linear variable scale, the quantum derivative uses an exponential scale and is defined in R + or R Γ€ . Two integral formulations similar to the usual Liouville derivatives are deduced with the help of the Mellin transform.

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