Theorems on some families of fractional differential equations and their applications.

Autor:	Bozkurt, Gülçin
Další autoři:	Albayrak, Durmuş Dernek, Neşe
Jazyk:	angličtina
Předmět:	matematika mathematics články journal articles fractional calculus fractional differential equation Caputo derivative Laplace transform
Druh dokumentu:	Non-fiction
ISSN:	0862-7940
Abstrakt:	Abstract: We use the Laplace transform method to solve certain families of fractional order differential equations. Fractional derivatives that appear in these equations are defined in the sense of Caputo fractional derivative or the Riemann-Liouville fractional derivative. We first state and prove our main results regarding the solutions of some families of fractional order differential equations, and then give examples to illustrate these results. In particular, we give the exact solutions for the vibration equation with fractional damping and the Bagley-Torvik equation.
Databáze:	Katalog Knihovny AV ČR
Externí odkaz:	Full text from SpringerLink