@article {OA1862,
	title = {The fractional quantum derivative and its integral representations?},
	journal = {Communications in Nonlinear Science and Numerical Simulation},
	volume = {15},
	number = {4},
	year = {2010},
	note = {n/a},
	pages = {956{\textendash}962},
	publisher = {Elsevier B.V.},
	abstract = {<p>The quantum fractional derivative is defined using formulations analogue to the common Gr{\"u}nwald?Letnikov derivatives. While these use a linear variable scale, the quantum derivative uses an exponential scale and is defined in R? or R?. Two integral formulations similar to the usual Liouville derivatives are deduced with the help of the Mellin transform.</p>
},
	url = {http://oa.uninova.pt/1862/},
	author = {Manuel Duarte Ortigueira}
}
