Results 1 to 10 of about 2,185 (265)
The Classical Hom–Leibniz Yang–Baxter Equation and Hom–Leibniz Bialgebras
Mathematics, 2022 In this paper, we first introduce the notion of Hom–Leibniz bialgebras, which is equivalent to matched pairs of Hom–Leibniz algebras and Manin triples of Hom–Leibniz algebras.
Shuangjian Guo, Shengxiang Wang
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Leibniz rules and Gauss–Green formulas in distributional fractional spaces [PDF]
Journal of Mathematical Analysis and Applications, 2022 We apply the results established in arXiv:2109.15263 to prove some new fractional Leibniz rules involving $BV^{\alpha,p}$ and $S^{\alpha,p}$ functions, following the distributional approach adopted in the previous works arXiv:1809.08575, arXiv:1910.13419,
Giovanni E Comi, Giorgio Stefani
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Leibniz type rule: ψ-Hilfer fractional operator
Communications in Nonlinear Science and Numerical Simulation, 2020 In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H)fractional derivative operator in two forms, one written in terms of the ψ-Riemann-Liouville (ψ-RL)fractional derivative operator and the other in terms of the ψ-H fractional derivative ...
Oliveira, E. Capelas de +1 more
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$\mathcal{O}$-operators and related structures on Leibniz algebras
Communications in Algebra, 2022 An $\mathcal{O}$-operator has been used to extend a Leibniz algebra by its representation. In this paper, we investigate several structures related to $\mathcal{O}$-operators on Leibniz algebras and introduce (dual) $\mathcal{O}$N-structures on Leibniz ...
Sun, Qinxiu, Jing, Naihuan
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BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota–Baxter operators on BiHom-Lie algebras
Georgian Mathematical Journal, 2021 We contribute to the study of Rota-Baxter operators on types of algebras other than associative and Lie algebras. If A is an algebra of a certain type and R is a Rota-Baxter operator on A, one can define a new multiplication on A by means of R and the ...
Ling Liu +2 more
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On theoretical and practical aspects of Duhamel’s integral [PDF]
Archives of Control Sciences, 2021 The paper is a newapproach to the Duhamel integral. It contains an overviewof formulas and applications of Duhamel’s integral as well as a number of new results on the Duhamel integral and principle.
Michał Różański +3 more
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On the gauge-natural operators similar to the twisted Dorfman-Courant bracket [PDF]
Opuscula Mathematica, 2021 All \(\mathcal{VB}_{m,n}\)-gauge-natural operators \(C\) sending linear \(3\)-forms \(H \in \Gamma^{l}_E(\bigwedge^3T^*E)\) on a smooth (\(\mathcal{C}^\infty\)) vector bundle \(E\) into \(\mathbf{R}\)-bilinear operators \[C_H:\Gamma^l_E(TE \oplus T^*E ...
Włodzimierz M. Mikulski
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The Generalized Discrete Proportional Derivative and Its Applications
Fractal and Fractional, 2023 The aim of this paper is to define the generalized discrete proportional derivative (GDPD) and illustrate the application of the Leibniz theorem, the binomial expansion, and Montmort’s formulas in the context of the generalized discrete proportional case.
Rajiniganth Pandurangan +3 more
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On the twisted Dorfman-Courant like brackets [PDF]
Opuscula Mathematica, 2020 There are completely described all \(\mathcal{VB}_{m,n}\)-gauge-natural operators \(C\) which, like to the Dorfman-Courant bracket, send closed linear \(3\)-forms \(H\in\Gamma^{l-\rm{clos}}_E(\bigwedge^3T^*E)\) on a smooth (\(\mathcal{C}^{\infty ...
Włodzimierz M. Mikulski
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Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras
, 2023 A Rota-Baxter Leibniz algebra is a Leibniz algebra $(\mathfrak{g},[~,~]_{\mathfrak{g}})$ equipped with a Rota-Baxter operator $T : \mathfrak{g} \rightarrow \mathfrak{g}$.
Saha, Ripan +3 more
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