On quasi-periodicity properties of fractional integrals and fractional derivatives of periodic functions

Autor:	Area, Iván, Losada, Jorge, Nieto, Juan J.
Rok vydání:	2015
Předmět:	Mathematics - Classical Analysis and ODEs 26A33 34A08
Druh dokumentu:	Working Paper
Popis:	This paper is devoted to the study of quasi-periodic properties of fractional order integrals and derivatives of periodic functions. Considering Riemann-Liouville and Caputo definitions, we discuss when the fractional derivative and when the fractional integral of a certain class of periodic functions satisfies particular properties. We study concepts close to the well known idea of periodic function, such as S-asymptotically periodic, asymptotically periodic or almost periodic function. Boundedness of fractional derivative and fractional integral of a periodic function is also studied. Comment: 15 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1507.05567 Zobrazit plný text záznamu View this record from Arxiv