Riemann–Liouville fractional Dirac operator and Borel–Pompeiu type formula in Clifford analysis

In this paper, we first propose a more general fractional Dirac operator in Clifford analysis and discuss some properties of the fractional Dirac operator. Secondly, we derive the fractional Stokes and Borel–Pompeiu type formulas. Finally, with the above fractional Borel–Pompeiu type formula, we also present the fractional Borel–Pompeiu type formula of higher order.