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<p>We prove an analog of the quaternionic Borel–Pompeiu formula in the sense of proportional fractional <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\psi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ψ</mi> </math></EquationSource> </InlineEquation>-Cauchy–Riemann operators via Riemann–Liouville derivative with respect to another function.</p>

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The Borel–Pompeiu Formula Involving Proportional Fractional \(\psi \)-Cauchy–Riemann Operators

  • 期刊论文

  • 发表日期：

    2025年11月8日

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  • José Oscar González-Cervantes,
  • Isidro Paulino-Basurto,
  • Juan Bory-Reyes,
  • Hung Manh Nguyen

摘要

We prove an analog of the quaternionic Borel–Pompeiu formula in the sense of proportional fractional \(\psi \) ψ -Cauchy–Riemann operators via Riemann–Liouville derivative with respect to another function.