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<p>We introduce and analyze a&#xa0;new class of fractional partial difference operators in sequentially complete locally convex spaces. In order to define and study this class, we essentially employ the multidimensional vector-valued <i>Z</i>-transform of sequences. We provide several structural characterizations and applications to abstract fractional partial difference equations.</p>

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Fractional partial difference operators and multidimensional Z-transform

  • 期刊论文

  • 发表日期：

    2026年5月19日

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  • Syed Abbas,
  • Vladimir E. Fedorov,
  • Marko Kostić

摘要

We introduce and analyze a new class of fractional partial difference operators in sequentially complete locally convex spaces. In order to define and study this class, we essentially employ the multidimensional vector-valued Z-transform of sequences. We provide several structural characterizations and applications to abstract fractional partial difference equations.