Results 251 to 260 of about 13,043 (276)

Relations Between the Fractional Operators in q-Calculus

2020
In this survey paper, we will consider the fractional operators in q-calculus. Starting from the fractional versions of q-Pochhammer symbol, we generalize the notions of the fractional q-integral and q-derivative by introducing variable lower bound of integration.
Sergei Silvestrov, Predrag M. Rajković, Sladjana D. Marinković, Miomir S. Stanković   +3 more
openaire   +1 more source

Itô’s Lemma with Quantum Calculus (q-Calculus): Some Implications

Foundations of Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

The different languages of q-calculus

2012
We give a survey of the different schools in q-analysis and introduce difference calculus and Bernoulli numbers to make a preparation for the important fourth chapter. We summarize the different attempts at elliptic and Theta functions, both of which are intimately related to q-calculus.
openaire   +1 more source

Newton Like Line Search Method Using q-Calculus

2017
In this paper some Newton like methods for unconstrained optimization problem are restructured using q-calculus (quantum calculus). Two schemes are proposed, (1) q-Newton line search scheme, (2) a variant of q-Newton line search scheme. Global convergence of these schemes are discussed and numerical illustrations are provided.
Suvra Kanti Chakraborty, Geetanjali Panda   +1 more
openaire   +1 more source

q-Calculus

1997
Anatoli Klimyk, Konrad Schmüdgen
openaire   +1 more source

A Guide to the Stochastic Network Calculus

IEEE Communications Surveys and Tutorials, 2015
Markus, Amr Rizk
exaly  

Survey of deterministic and stochastic service curve models in the network calculus

IEEE Communications Surveys and Tutorials, 2010
Markus
exaly  

Recent history of fractional calculus

Communications in Nonlinear Science and Numerical Simulation, 2011
J Tenreiro Machado, Virginia S Kiryakova, Francesco Mainardi   +2 more
exaly  

A new collection of real world applications of fractional calculus in science and engineering

Communications in Nonlinear Science and Numerical Simulation, 2018
HongGuang Sun, Yong Zhang, Dumitru Baleanu   +2 more
exaly  

R(p,q)-calculus: differentiation and integration

SUT Journal of Mathematics, 2013
Mahouton Norbert Hounkonnou, Joseph Désiré Bukweli Kyemba   +1 more
openaire   +1 more source