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Abstract <p>New type of partial differential equations for the Mittag-Leffler-type and the Le Roy-type special functions are obtained. These equations involve the derivatives of the mentioned special functions with respect to their parameters. By a change of variable, we reduce equations into a second-order hyperbolic partial differential equation.</p>

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Partial Differential Equations Solved by Mittag-Leffler-type and Le Roy-type Functions

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Filippo Giraldi,
  • Francesco Mainardi,
  • Sergei Rogosin

摘要

Abstract

New type of partial differential equations for the Mittag-Leffler-type and the Le Roy-type special functions are obtained. These equations involve the derivatives of the mentioned special functions with respect to their parameters. By a change of variable, we reduce equations into a second-order hyperbolic partial differential equation.