García, A.Negreanu, M.Ureña, F.Vargas Ureña, Antonio Manuel2024-10-282024-10-282024-10-28A. García, M. Negreanu, F. Ureña, A.M. Vargas, On the numerical solution to space fractional differential equations using meshless finite differences, Journal of Computational and Applied Mathematics 457 (2025) 1163221879-1778https://doi.org/10.1016/j.cam.2024.116322https://hdl.handle.net/20.500.14468/24150The registered version of this article, first published in Journal of Computational and Applied Mathematics, is available online at the publisher's website: Elsevier, https://doi.org/10.1016/j.cam.2024.116322La versión registrada de este artículo, publicado por primera vez en Journal of Computational and Applied Mathematics, está disponible en línea en el sitio web del editor: Elsevier, https://doi.org/10.1016/j.cam.2024.116322We derive a discretization of the Caputo and Riemann–Liouville spatial derivatives by means of the meshless Generalized Finite Difference Method, which is based on moving least squares. The conditional convergence of the method is proved and several examples over one dimensional irregular meshes are given.eninfo:eu-repo/semantics/openAccess12 Matemáticasartículofractional differential equationscaputo fractional derivativefinite difference methodmeshless method