Babakhani, AzizollahBaleanu, DumitruAgarwal, Ravi P.Matematik2020-04-032020-04-032013Babakhani, Azizollah; Baleanu, Dumitru; Agarwal, Ravi P., "The Existence and Uniqueness of Solutions for a Class of Nonlinear Fractional Differential Equations with Infinite Delay", Abstract and Applied Analysis, (2013)1085-33751687-0409https://doi.org/10.1155/2013/592964Babakhani, Azizollah/0000-0002-5342-1322; Babakhani, Abolfazl/0000-0002-8780-6968We prove the existence and uniqueness of solutions for two classes of infinite delay nonlinear fractional order differential equations involving Riemann-Liouville fractional derivatives. The analysis is based on the alternative of the Leray-Schauder fixed-point theorem, the Banach fixed-point theorem, and the Arzela-Ascoli theorem in Omega = {y : (-infinity,b] -> R : y vertical bar(<-infinity, 0]) epsilon B} such that y vertical bar ([0,b]) is continuous and B is a phase space.eninfo:eu-repo/semantics/openAccessArticle10.1155/2013/5929642-s2.0-84876521126WOS:000316878200001N/AQ2