Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/11898
Título: | Uniform approximation of fractional derivatives and integrals with application to fractional differential equations |
Autor: | Khosravian-Arab, H. Torres, D.F.M. |
Palavras-chave: | Bernstein polynomials Caputo and Riemann-iouville fractional derivatives Fractional differential equations Rate of convergence Stability Uniform approximation |
Data: | 2013 |
Editora: | CSP; I&S Publishers |
Resumo: | 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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/11898 |
ISSN: | 1359-8678 |
Versão do Editor: | http://nonlinearstudies.com/index.php/nonlinear/article/view/826 |
Aparece nas coleções: | CIDMA - Artigos DMat - Artigos |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[278]Khosravian-Arab_Torres.pdf | 375.15 kB | Adobe PDF |
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