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This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractional–monogenic functions in $$\mathbb {R}^{n}$$ for fixed n, in the Riemann–Liouville sense. To do so, we use… Click to show full abstract
This paper solves the Dirichlet boundary value problem of distinguishing domains for Clifford fractional–monogenic functions in $$\mathbb {R}^{n}$$ for fixed n, in the Riemann–Liouville sense. To do so, we use a matrix representation of the Clifford algebras. This allows us to construct computational algorithms that efficiently perform the calculations necessary to guarantee the existence of a solution for the Dirichlet boundary value problem over a properly distinguished domain. Finally, we show some explicit solutions for the Dirichlet boundary problem in $$\mathbb {R}^{3}$$ .
Journal Title: Complex Analysis and Operator Theory
Year Published: 2020
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