BECAS
VENTURATO Lucas David
artículos
Título:
Global Solution to a Nonlinear Fractional Differential Equation for the Caputo-Fabrizio Derivative
Autor/es:
SABRINA D. ROSCANI; LUCAS VENTURATO; DOMINGO A. TARZIA
Revista:
Progress in Fractional Differentiation and Applications
Editorial:
Natural Science Publishing
Referencias:
Año: 2019 vol. 5
ISSN:
2356-9336
Resumen:
In this article we prove existence and uniqueness of global solution to an initial value problem for a nonlinear fractional differential equation with a Caputo?Fabrizio (CF) derivative. We provide a new compact formula for the computation of the CF derivative to power functions (which is given in terms of Mittag-Leffler functions). We also give the convergence to classical derivatives for a regular class of functions when the order of the CF derivative tends to one, as well as some other useful properties.
