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Title: | Theoretical Investigation on the Conservation Principles of an Extended Davey–Stewartson System with Riesz Space Fractional Derivatives of Different Orders |
Authors: | Molina Holguín, Carlos Alberto Urenda Cázares, Ernesto Macías Díaz, Jorge E. Gallegos, Armando |
Keywords: | generalized David–Stewartson system fractional differential equations Riesz fractional operators conservative system |
Issue Date: | Apr-2024 |
Publisher: | MDPI |
Citation: | Molina-Holguín, C.A.; Urenda-Cázares, E.; Macías-Díaz, J.E.; Gallegos, A. Theoretical Investigation on the Conservation Principles of an Extended Davey–Stewartson System with Riesz Space Fractional Derivatives of Different Orders. Fractal Fract. 2024, 8, 206. https://doi.org/10.3390/ fractalfract8040206 |
Series/Report no.: | Fractal Fract.;2024, 8, 206 |
Abstract: | In this article, a generalized form of the Davey–Stewartson system, consisting of three nonlinear coupled partial differential equations, will be studied. The system considers the presence of fractional spatial partial derivatives of the Riesz type, and extensions of the classical mass, energy, and momentum operators will be proposed in the fractional-case scenario. In this work, we will prove rigorously that these functionals are conserved throughout time using some functional properties of the Riesz fractional operators. This study is intended to serve as a stepping stone for further exploration of the generalized Davey–Stewartson system and its wide-ranging applications. |
URI: | http://repositorio.cualtos.udg.mx:8080/jspui/handle/123456789/1674 |
ISSN: | 2504-3110 |
Appears in Collections: | 1203 Artículos |
Files in This Item:
File | Description | Size | Format | |
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Theoretical Investigation on the Conservation Principles.pdf | Documento | 311.54 kB | Adobe PDF | View/Open |
Enlace a_Theoretical Investigation on the Conservation Principles.htm | Enlace a publicación | 42.75 kB | HTML | View/Open |
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