@article{Du2025, 
author = {Xiaojing Du and Xiaotong Liang and Yonghong Xie},
title = {Integral expressions of solutions to higher order    λ-weighted Dirac equations valued in the parameter dependent Clifford algebra},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {1043-1060},
keywords = {integral expression of solutions, higher order λ-weighted Dirac equations, parameter dependent Clifford algebras},
url = {https://www.sciopen.com/article/10.3934/math.2025050},
doi = {10.3934/math.2025050},
abstract = {First, some important properties of functions valued in the parameter dependent Clifford algebra              B              n        (  2  ,      α          j        ,      γ          i      j        ) were studied. Second, we obtained Cauchy-Pompeiu formulae for functions valued in              B              n        (  2  ,      α          j        ,      γ          i      j        ) and the integral representation of solutions to the higher order    λ-weighted Dirac equation, respectively. Finally, the integral representation of solutions to bilateral higher order    λ-weighted Dirac equations was derived.}
}