TY - JOUR
TI - Exact solutions and non-linear adaptive boundary control problem of the fractional modified generalized KdV-burgers equation
AU - Xu Bo
AU - Yu Yue
AU - Zhang Sheng
JN - Thermal Science
PY - 2025
VL - 29
IS - 3
SP - 1749
EP - 1756
PT - Article
AB - 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.