Artigo
Laplace transform and the Mittag-Leffler function
Registro en:
TEODORO, G. S.; OLIVEIRA, E. C. de. Laplace transform and the Mittag-Leffler function. International Journal of Mathematical Education in Science and Technology, [S.l.], v. 45, n. 4, 2014.
Autor
Teodoro, G. Sales
Oliveira, E. Capelas de
Institución
Resumen
The exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation with constant coefficients. Using infinite series and Laplace transform, we introduce the Mittag-Leffler function as a generalization of the exponential function. Particular cases are recovered.