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<p>This study investigates a sequential first-order chemical reaction modeled via the Gerasimov-Caputo fractional derivative framework. We derive an exact analytical solution employing Mittag–Leffler and Prabhakar functions, and develop a robust numerical algorithm for its implementation. Our computational experiments demonstrate that fractional-order operators effectively capture slow reaction kinetics, particularly in systems with memory effects. The proposed approach bridges the gap between stoichiometric and kinetic descriptions while offering new tools for modeling inhibited reactions and corrosion processes.</p>

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Sequential chemical reaction in the fractional integro-differentiation model

  • 期刊论文

  • 发表日期：

    2026年1月24日

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  • Z. V. Murga,
  • A. V. Pskhu,
  • S. Sh. Rekhviashvili

摘要

This study investigates a sequential first-order chemical reaction modeled via the Gerasimov-Caputo fractional derivative framework. We derive an exact analytical solution employing Mittag–Leffler and Prabhakar functions, and develop a robust numerical algorithm for its implementation. Our computational experiments demonstrate that fractional-order operators effectively capture slow reaction kinetics, particularly in systems with memory effects. The proposed approach bridges the gap between stoichiometric and kinetic descriptions while offering new tools for modeling inhibited reactions and corrosion processes.