Vargas Ureña, Antonio Manuel2024-12-132024-12-132021-10-29A.M. Vargas, Finite difference method for solving fractional differential equations at irregular meshes, Mathematics and Computers in Simulation, Volume 193, March 2022, Pages 204-216. https://doi.org/10.1016/j.matcom.2021.10.0100378-4754https://doi.org/10.1016/j.matcom.2021.10.010https://hdl.handle.net/20.500.14468/24893The registered version of this article, first published in Mathematics and Computers in Simulation, is available online at the publisher's website: Elsevier, https://doi.org/10.1016/j.matcom.2021.10.010La versión registrada de este artículo, publicado por primera vez en Mathematics and Computers in Simulation, está disponible en línea en el sitio web del editor: Elsevier, https://doi.org/10.1016/j.matcom.2021.10.010This paper presents a novel meshless technique for solving a class of fractional differential equations based on moving least squares and on the existence of a fractional Taylor series for Caputo derivatives. A “Generalized Finite Difference” approach is followed in order to derive a simple discretization of the space fractional derivatives. Consistency, stability and convergence of the method are proved. Several examples illustrating the accuracy of the method are given.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículofractional differential equationscaputo fractional derivativefractional Laplacianfinite difference methodmeshless method