Infinitesimal Prolongation for Fractional Derivative 9-Caputo Variable Order and Applications

• C. A. Soares Jr ^[1] ; F. S. Costa ^[2] ; J. Vanterler C. Sousa ^[2]
  1. [1] Mato Grosso State University
  2. [2] DEMATI-UEMA
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 1, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this work, we are concerned with the well-known Lie group theory to find symmetries of differential equations with fractional derivative Ψ-Caputo variable order.

    In this sense, we discuss the Leibniz-type rule and also the chain-type rule for the fractional derivative of this operator. In the end, we apply the results obtained in the fractional Harry Dym-type equation to find its symmetries, and we present a solution for a fractional Harry Dym-type equation with constant order.

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