On the $\psi$-Hilfer fractional derivative

Autor:	Sousa, J. Vanterler da C., de Oliveira, E. Capelas
Rok vydání:	2017
Předmět:	Mathematics - Classical Analysis and ODEs 26A03 26A15 26A33 26A46
Druh dokumentu:	Working Paper
Popis:	In this paper we introduce a new fractional derivative with respect to another function the so-called $\psi$-Hilfer fractional derivative. We discuss some properties and important results of the fractional calculus. In this sense, we present some uniformly convergent sequence of function results and examples involving the Mittag-Leffler function with one parameter. Finally, we present a wide class of integrals and fractional derivatives, by means of the fractional integral with respect to another function and the $\psi$-Hilfer fractional derivative. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1708.05109 Zobrazit plný text záznamu View this record from Arxiv