RT Journal Article
T1 Power-series solution of the L-fractional logistic equation
A1 Jornet, Marc
A1 Nieto Roig, Juan José
K1 Logistic model
K1 Fractional calculus
K1 Non-integer differential equation
K1 Leibniz and Caputo fractional derivative
K1 Analytic solution
K1 Euler numbers
AB We consider the L-fractional derivative, which has been proposed in the literature to study fractional differentials in geometry and processes in mechanics. Our context is population growth and epidemiology, for which the use of L-derivatives is motivated by transitions. Using power series, we solve the logistic differential equation model under this fractional derivative. Several conclusions on the method, the derivative, and the singularity of the associated kernel are reached. Fractional Euler numbers, related to the logistic map and the famous Riemann zeta function, are also introduced
PB Elsevier
SN 0893-9659
YR 2024
FD 2024
LK http://hdl.handle.net/10347/33629
UL http://hdl.handle.net/10347/33629
LA eng
NO Applied Mathematics Letters, Volume 154, 2024, 109085
NO The research of J.J. Nieto was supported by the Agencia Estatal de Investigación (AEI) of Spain Grant PID2020-113275GB-I00 funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”, by the “European Union” and Xunta de Galicia , grant ED431C 2023/12 for Competitive Reference Research Groups (2023–2026)
DS Minerva
RD 24 abr 2026