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

• Type: Article in International Scientific Journal
• Date: 2017

Authors

Antunes, PRS (Author) Other; Ferreira, RAC (Author) Other

Journal

Title: Communications in Nonlinear Science and Numerical Simulation

Vol. 48

Pages: 398-413

ISSN: 1007-5704

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 2 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 16