Mean Value and Taylor-Type Results for Tempered Fractional Derivatives

Rodríguez J.A.; Torres Ledesma C.E. · Bulletin of the Malaysian Mathematical Sciences Society (2024) · DOI: 10.1007/s40840-024-01675-7

Resumen

In this paper, we deal with the mean value theorem for tempered fractional operators, some properties with monotone functions and the Taylor theorem for Caputo tempered fractional derivative. Furthermore, we present a geometric interpretation of the Riemann-Liouville tempered fractional integral as a shadow on the wall. © The Author(s), under exclusive licence to Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2024.

Instituciones: Universidad Nacional de Trujillo