Please use this identifier to cite or link to this item: http://repositorio.cualtos.udg.mx:8080/jspui/handle/123456789/1674
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 SizeFormat 
Theoretical Investigation on the Conservation Principles.pdfDocumento311.54 kBAdobe PDFView/Open
Enlace a_Theoretical Investigation on the Conservation Principles.htmEnlace a publicación42.75 kBHTMLView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.