EXACT SOLUTIONS AND NON-LINEAR ADAPTIVE BOUNDARY CONTROL PROBLEM OF THE FRACTIONAL MODIFIED GENERALIZED KdV-BURGERS EQUATION

被引：0

作者：

Xu, Bo ^{[1
,2
]}

Yu, Yue ^{[1
]}

Zhang, Sheng ^{[1
]}

机构：

[1] Bohai Univ, Sch Math Sci, Jinzhou, Peoples R China

[2] Bohai Univ, Sch Educ Sci, Jinzhou, Peoples R China

来源：

THERMAL SCIENCE | 2025年 / 29卷 / 3A期

关键词：

fractional modified generalized KdV-Burgers equation; hyperbolic function solution; initial and boundary value problem; non-linear adaptive boundary control law; auxiliary equation; global exponential stability;

D O I：

10.2298/TSCI2503749X

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This article extends a modified generalized KdV-Burgers equation to the conformable fractional version with the aim of exploring novel solution structures and non-linear adaptive boundary control problems for fractional-order models. The results obtained include hyperbolic functional solutions of the fractional modified generalized KdV-Burgers equation and a non-linear adaptive boundary control law designed by attaching initial and boundary value conditions. It is demonstrated that the obtained hyperbolic functional solutions exhibit novel spatial structures, and that the solution of the fractional initial and boundary value problem is globally exponential stability.

引用

页码：1749 / 1756

页数：8

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