Integral expressions of solutions to higher order $\lambda$-weighted Dirac equations valued in the parameter dependent Clifford algebra

First, some important properties of functions valued in the parameter dependent Clifford algebra ${\mathcal{B}}_n(2,{\alpha }_j,{\gamma }_{ij})$ were studied. Second, we obtained Cauchy-Pompeiu formulae for functions valued in ${\mathcal{B}}_n(2,{\alpha }_j,{\gamma }_{ij})$ and the integral representation of solutions to the higher order $\lambda$-weighted Dirac equation, respectively. Finally, the integral representation of solutions to bilateral higher order $\lambda$-weighted Dirac equations was derived.