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<p>Fractional Laplacian vector fields on the skew field of real quaternions in three dimensional Euclidean space are introduced within the framework of the Riemann–Liouville fractional integral and derivatives with respect to another function. We have revealed and discussed the corresponding fractional Stokes and Borel–Pompeiu type formulas, together with Cauchy-type theorem and formula.</p>

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Fractional Laplacian vector fields involving fractional integrals and derivatives with respect to another function

  • 期刊论文

  • 发表日期：

    2026年5月18日

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  • José Oscar González-Cervantes,
  • Juan Bory-Reyes,
  • Baruch Schneider

摘要

Fractional Laplacian vector fields on the skew field of real quaternions in three dimensional Euclidean space are introduced within the framework of the Riemann–Liouville fractional integral and derivatives with respect to another function. We have revealed and discussed the corresponding fractional Stokes and Borel–Pompeiu type formulas, together with Cauchy-type theorem and formula.