Some boundedness results for Riemann-Liouville tempered fractional integrals

Torres Ledesma C.E.; Cuti Gutierrez H.A.; Avalos Rodríguez J.P.; Zubiaga Vera W. · Fractional Calculus and Applied Analysis (2024) · DOI: 10.1007/s13540-024-00247-7

Resumen

In this work we generalize some results of the Riemann-Liouville fractional calculus for the tempered case, namely, we deal with some boundedness results of Riemann-Liouville tempered fractional integrals on continuous function space and Lebesgue spaces in bounded intervals and on the real line. Moreover, the limit behavior of the Riemann-Liouville tempered fractional integrals approaching to the Riemann-Liouville fractional integrals is considered. © Diogenes Co.Ltd 2024.

Instituciones: Universidad Nacional de Trujillo