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Title: The power quantum calculus and variational problems
Author: Aldwoah, K. A.
Malinowska, A. B.
Torres, D. F. M.
Keywords: Generalized Jackson integral
Generalized Nörlund sum
N, q-difference equations
N, q-power difference operator
Quantum variational problems
Issue Date: 2012
Publisher: Watam Press
Abstract: We introduce the power difference calculus based on the operator D n; qf(t) =f(qt n)-f(t)qt n-t , where n is an odd positive integer and 0 < q < 1. Properties of the new operator and its inverse - the d n; q integral - are proved. As an application, we consider power quantum Lagrangian systems and corresponding n; q-Euler-Lagrange equations. © 2012 Watam Press.
Peer review: yes
ISSN: 1492-8760
Appears in Collections:CIDMA - Artigos

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