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q-Derivatives, quantization methods and q-algebras
AIP Conference Proceedings, 1998Using the example of Borel quantization on S1, we discuss the relation between quantization methods and q-algebras. In particular, it is shown that a q-deformation of the Witt algebra with generators labeled by Z is realized by q-difference operators. This leads to a discrete quantum mechanics. Because of Z, the discretization is equidistant.
openaire +1 more source
On the Logarithm of the q-Derivative operator and the Fractional q-Derivative operator
SSRN Electronic Journal, 2023openaire +1 more source
Discretised general fractional derivative
Mathematics and Computers in Simulation, 2023Changpin Li, Martin Stynes
exaly
Generalized derivative and π-derivative for set-valued functions
Information Sciences, 2011Yurilev Chalco-Cano +2 more
exaly
On the ψ -Hilfer fractional derivative
Communications in Nonlinear Science and Numerical Simulation, 2018JOSÉ Vanterler Costa Sousa +1 more
exaly
Surpassing the fractional derivative: Concept of the memory-dependent derivative
Computers and Mathematics With Applications, 2011Jin-Liang Wang
exaly
On the Topological Derivative in Shape Optimization
SIAM Journal on Control and Optimization, 1999Jan Sokolowski, Antoni Źochowski
exaly