Zobrazeno 1 - 10
of 82
pro vyhledávání: '"nonlocal Laplace operator"'
Akademický článek
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Autor:
Batirkhan Turmetov, Valery Karachik
Publikováno v:
Symmetry, Vol 13, Iss 10, p 1781 (2021)
We study the eigenfunctions and eigenvalues of the boundary value problem for the nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions and eigenvalues for the unit ball are obtained. A theorem on the completeness
Externí odkaz:
https://doaj.org/article/b3dffe26e62349f5a8e1ff6a00fd1aec
Conference
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Autor:
Zámečníková, Hana, Perfilieva, Irina
Publikováno v:
Information Processing and Management of Uncertainty in Knowledge-Based Systems
Differential operators play an important role in the mathematical modeling of dynamic processes and the analysis of various structures. However, there are certain limitations in their use. To remove them, nonlocal differential operators have been pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmc_________::f16df5bfe1e0808eda3a6a8af67ece1f
http://europepmc.org/articles/PMC7274743
http://europepmc.org/articles/PMC7274743
Publikováno v:
Symmetry, Vol 13, Iss 1781, p 1781 (2021)
Symmetry
Volume 13
Issue 10
Symmetry
Volume 13
Issue 10
We study the eigenfunctions and eigenvalues of the boundary value problem for the nonlocal Laplace equation with multiple involution. An explicit form of the eigenfunctions and eigenvalues for the unit ball are obtained. A theorem on the completeness
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ff52dcbf1d60c66edce5831b38ec94c
https://www.mdpi.com/2073-8994/13/10/1781
https://www.mdpi.com/2073-8994/13/10/1781
Akademický článek
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Autor:
Hana Zámečníková, Irina Perfilieva
Publikováno v:
Information Processing and Management of Uncertainty in Knowledge-Based Systems ISBN: 9783030501525
IPMU (3)
IPMU (3)
Differential operators play an important role in the mathematical modeling of dynamic processes and the analysis of various structures. However, there are certain limitations in their use. To remove them, nonlocal differential operators have been pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b99f6f94a1f4de1b3517a5a4c0a5c7c1
https://doi.org/10.1007/978-3-030-50153-2_22
https://doi.org/10.1007/978-3-030-50153-2_22
Publikováno v:
Developments of Artificial Intelligence Technologies in Computation and Robotics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8dcb06ee5306ee6362ed5813ffa11d3
https://doi.org/10.1142/9789811223334_0115
https://doi.org/10.1142/9789811223334_0115
Autor:
Petronela Radu, Kelseys Wells
Publikováno v:
J. Integral Equations Applications 31, no. 3 (2019), 379-409
Motivated by the state-based peridynamic framework, we introduce a new nonlocal Laplacian that exhibits double nonlocality through the use of iterated integral operators. The operator introduces additional degrees of flexibility that can allow for be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55a71e263913a4f7beb29524b5d1c394
https://doi.org/10.1216/jie-2019-31-3-379
https://doi.org/10.1216/jie-2019-31-3-379
Publikováno v:
Fractal and Fractional, Vol 6, Iss 6, p 308 (2022)
In this paper, in the class of smooth functions, integration and differentiation operators connected with fractional conformable derivatives are introduced. The mutual reversibility of these operators is proved, and the properties of these operators
Externí odkaz:
https://doaj.org/article/9ce06aa321e34ce4b4b6fe0ad58f2b2f