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Generalized conformal derivations of Lie conformal algebras [PDF]

open access: yesJournal of Algebra and Its Applications, 2019
Let [Formula: see text] be a finite Lie conformal algebra. The purpose of this paper is to investigate the conformal derivation algebra [Formula: see text], the conformal quasiderivation algebra [Formula: see text] and the generalized conformal derivation algebra [Formula: see text].
Guangzhe Fan, Yanyong Hong, Yucai Su
openaire   +3 more sources

Conformational chirality of sulfonylpyrimidine derivatives [PDF]

open access: yesActa Crystallographica Section A Foundations of Crystallography, 2004
The title compounds belong to a novel series of pyrimidine nucleobase derivatives possessing a sulfonamide pharmacophore. Some of them exhibit significant anticancer activity in vitro.[1] As the part of the overall structural examination, the crystal structures of 1-tosylthymine (1) and 1-tosyluracil (2) are presented.
M. Zinic   +3 more
openaire   +3 more sources

Chebyshev inequality on conformable derivative

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
Integral inequalities are very important in applied sciences. Chebyshev's integral inequality is widely used in applied mathematics. First of all, some necessary definitions and results regarding conformable derivative are given in this article.
SELÇUK KIZILSU, Aysun   +1 more
openaire   +3 more sources

Complex conformable derivative

open access: yesArabian Journal of Geosciences, 2019
In this study, we introduce a new complex conformable derivative and integral with noninteger order α which coincides the classical complex derivative and integral for α = 1. We examine basic properties of these newly defined derivative and integral such as Cauchy-Riemann equations, conformability and fundamental theorem of complex conformable integral.
Uçar, Sümeyra   +2 more
openaire   +4 more sources

A critical analysis of the conformable derivative

open access: yesNonlinear Dynamics, 2019
We prove that conformable ``fractional" differentiability of a function $f:[0,\infty[\,\longrightarrow \mathbb{R}$ is nothing else than the classical differentiability. More precisely, the conformable $α$-derivative of $f$ at some point $x>0$, where $0<α<1$, is the pointwise product $x^{1-α}f^{\prime}(x)$.
Ahmed A. Abdelhakim   +1 more
openaire   +3 more sources

Variational calculus with conformable fractional derivatives [PDF]

open access: yesIEEE/CAA Journal of Automatica Sinica, 2017
This is a preprint of a paper whose final and definite form will appear in the IEEE/CAA Journal of Automatica Sinica, ISSN 2329-9266.
Lazo, Matheus J., Torres, Delfim F. M.
openaire   +3 more sources

Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras

open access: yes, 2021
In this paper, we focus on the $(\si,\t)$-derivation theory of Lie conformal superalgebras. Firstly, we study the fundamental properties of conformal $(\si,\t)$-derivations. Secondly, we mainly research the interiors of conformal $G$-derivations. Finally, we discuss the relationships between the conformal $(\si,\t)$-derivations and some generalized ...
Feng, Tianqi, Zhao, Jun, Chen, Liangyun
openaire   +2 more sources

Cohomology and Conformal Derivations of Bihom-Lie Conformal Superalgebras

open access: yesJournal of Algebra, Number Theory: Advances and Applications, 2021
In this paper, we introduce the notion of BiHom-Lie conformal superalgebras. We develop its representation theory and define the cohomology group with coefficients in a module. Finally, we introduce conformal derivations of BiHom-Lie conformal superalgebras and study some of their properties.
openaire   +2 more sources

A conformational study of proline derivatives

open access: yesBulletin of the Chemical Society of Ethiopia, 2002
From the study of the structures and molecular conformations of a number of proline derivatives, some conclusions were drawn. The widening effect of angle C-C'-N' is caused by steric repulsion between a hydrogen atom at C of the preceding prolyl residue with any other at either C or C of the pyrrolidine ring cis to it.
M.E. Kamwaya, F. N. Ngassapa
openaire   +4 more sources

Conformational Study of New AZT Derivatives [PDF]

open access: yesMolecules, 2000
A conformational study of three new AZT derivatives was made by semiempirical methods in order to find a structural correlation between these derivatives and AZT.
Baumgartner, M. T.   +3 more
openaire   +3 more sources

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