RT Journal Article
T1 Fractional Euler numbers and generalized proportional fractional logistic differential equation
A1 Nieto Roig, Juan José
K1 Logistic differential equation
K1 Fractional calculus
K1 Generalized proportional fractional integral
K1 Euler numbers
K1 Euler fractional numbers
AB We solve a logistic differential equation for generalized proportional Caputo fractional derivative. The solution is found as a fractional power series. The coefficients of that power series are related to the Euler polynomials and Euler numbers as well as to the sequence of Euler’s fractional numbers recently introduced. Some numerical approximations are presented to show the good approximations obtained by truncating the fractional power series. This generalizes previous cases including the Caputo fractional logistic differential equation and Euler’s numbers
PB Springer
SN 1311-0454
YR 2022
FD 2022
LK http://hdl.handle.net/10347/29199
UL http://hdl.handle.net/10347/29199
LA eng
NO Fractional Calculus and Applied Analysis 25, 876–886 (2022). https://doi.org/10.1007/s13540-022-00044-0
NO Open access funding provided by Università degli Studi di Bari Aldo Moro within the CRUI-CARE Agreement.This work has been partially supported by the Agencia Estatal de Investigación (AEI) of Spain under Grant PID2020-113275GB-I00, cofinanced by the European Community fund FEDER, as well as Xunta de Galicia grant ED431C 2019/02 for Competitive Reference Research Groups (2019-22)
DS Minerva
RD 22 abr 2026