Analysis of a class of boundary value problems depending on left and right Caputo fractional derivatives

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Antunes, PRS (Autor) Outra; Ferreira, RAC (Autor) Outra

Revista

Título: Communications in Nonlinear Science and Numerical Simulation

Vol. 48

Páginas: 398-413

ISSN: 1007-5704

Editora: Elsevier

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00M-CGP

DOI: 10.1016/j.cnsns.2017.01.017

Abstract (EN): In this work we study boundary value problems associated to a nonlinear fractional ordinary differential equation involving left and right Caputo derivatives. We discuss the regularity of the solutions of such problems and, in particular, give precise necessary conditions so that the solutions are C-1([0, 1]). Taking into account our analytical results, we address the numerical solution of those problems by the augmented-RBF method. Several examples illustrate the good performance of the numerical method.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 16