On fundamental solutions of higher‐order space‐fractional Dirac equations

Starting from the pseudo-differential decomposition D = ( − Δ ) 1 2 H of Dirac operator ∑ j n e ∂ x in terms fractional order and Riesz–Hilbert type we will investigate fundamental solutions space-fractional equation Lévy–Feller t Φ α , ; θ exp i π involving Laplacian α, with 2m≤α < 2m + m ∈ ℕ), exponentiation as hypercomplex counterpart transform carrying skewness parameter θ, values range | ≤ min { }. Such model problem permits us to obtain counterparts for higher-order heat-type equations F M κ 2,3 … case where even powers resp. odd m) 1) are being considered.