Some Properties of the ψ-Hilfer-Caputo Fractional Derivative

Rodríguez J.Á.; Gutierrez H.C.; Ledesma C.E.T. · Bulletin of the Iranian Mathematical Society (2026) · DOI: 10.1007/s41980-025-01006-x

Resumen

In this work, we study some properties of a new fractional derivative, called ψ-Hilfer-Caputo fractional derivative. The fundamental theorem, a chain rule type inequality, mean value type result and the Laplace transform of this new fractional derivative are considered. Our results are new, even in the particular case ψ(x)=x which reduce to the Hilfer fractional derivative case. © The Author(s) under exclusive licence to Iranian Mathematical Society 2026.

Instituciones: Universidad Nacional de Trujillo