INV SUPERIOR JUBILADO
TARZIA domingo alberto
artículos
Título:
Global solution to a nonlinear fractional differential equation for the Caputto-Fabrizio derivative
Autor/es:
ROSCANI, SABRINA D.; L. VENTURATO; DA. TARZIA
Revista:
Progress in Fractional Differentation and Applications
Editorial:
Natural Science Publishing
Referencias:
Año: 2019 vol. 5 p. 1 - 13
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.Leffker 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 prpperties.
