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1. Some boundedness results for Riemann-Liouville tempered fractional integrals.

Author

Torres Ledesma, César E., Cuti Gutierrez, Hernán A., Avalos Rodríguez, Jesús P., and Zubiaga Vera, Willy

Subjects
*FRACTIONAL integrals, *FRACTIONAL calculus, *FUNCTION spaces, *CONTINUOUS functions, *INTEGRAL functions
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2024
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