广义分数阶Korteweg-de Vries方程的近似解析解

IF 1.1 4区工程技术 Q4 THERMODYNAMICS

Thermal Science Pub Date : 2023-01-01 DOI:10.2298/tsci2303873d

S. Deng, Zihao Deng

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引用次数: 0

摘要

研究了一个包含时间分数阶导数和空间分形导数的广义Korteweg-de Vries方程。时间分数阶导数可以描述非局域性和记忆性，而空间分形阶导数可以描述空间不连续性。它的近似解析解用He?S变分迭代法，对于分形-分数阶微分方程是非常有效的。

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Approximate analytical solutions of generalized fractional Korteweg-de Vries equation

In this paper, a generalized Korteweg-de Vries equation involving a temporal fractional derivative and a spatial fractal derivative is studied. The temporal fractional derivative can describe the non-local property and memory property, while the spatial fractal derivative can model the space discontinuity. Its approximate analytical solution is presented using He?s variational iteration method, which is extremely effective for the fractal-fractional differential equations.

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来源期刊

Thermal Science 工程技术-热力学

CiteScore

2.70

自引率

29.40%

发文量

399

审稿时长

5 months

期刊介绍： The main aims of Thermal Science to publish papers giving results of the fundamental and applied research in different, but closely connected fields: fluid mechanics (mainly turbulent flows), heat transfer, mass transfer, combustion and chemical processes in single, and specifically in multi-phase and multi-component flows in high-temperature chemically reacting flows processes present in thermal engineering, energy generating or consuming equipment, process and chemical engineering equipment and devices, ecological engineering, The important characteristic of the journal is the orientation to the fundamental results of the investigations of different physical and chemical processes, always jointly present in real conditions, and their mutual influence. To publish papers written by experts from different fields: mechanical engineering, chemical engineering, fluid dynamics, thermodynamics and related fields. To inform international scientific community about the recent, and most prominent fundamental results achieved in the South-East European region, and particularly in Serbia, and - vice versa - to inform the scientific community from South-East European Region about recent fundamental and applied scientific achievements in developed countries, serving as a basis for technology development. To achieve international standards of the published papers, by the engagement of experts from different countries in the International Advisory board.