Type: Article
Uniform approximation of fractional derivatives and integrals with application to fractional differential equations
Journal: Nonlinear Studies (21534373)Year: 2013Volume: 20Issue: Pages: 533 - 548
Khosravian Arab H.aTorres, Delfim F. M.
Language: English
Abstract
It is well known that for every f ε Cm there exists a polynomial pn such that pn(k) → f(k), k = 0,..m,Here we prove such a result for fractional (non-integer) derivatives. Moreover, a numerical method is proposed for fractional differential equations. The convergence rate and stability of the proposed method are obtained. Illustrative examples are discussed. © CSP - Cambridge, UK; I&S - Florida, USA, 2013.