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http://hdl.handle.net/10553/71966
| Title: | Existence and uniqueness of solutions for a nonlinear fractional initial value problem involving Caputo derivatives | Authors: | Appell, Juergen López, Belén Sadarangani, Kishin |
UNESCO Clasification: | 120299 Otras (especificar) 120219 Ecuaciones diferenciales ordinarias |
Keywords: | Initial value problem Caputo derivative Singular integral equation Browder fixed point theorem Matkowski fixed point theorem, et al |
Issue Date: | 2018 | Project: | Existencia Y Unicidad De Soluciones En Ecuaciones Integrales, Funcionales Y Diferenciales Mediante Puntos Fijos | Journal: | Journal Of Nonlinear And Variational Analysis | Abstract: | In this paper, we give a sufficient condition for the existence and uniqueness interval of continuous solutions to a class of fractional initial value problems involving Caputo derivatives when the data functions satisfy a non-classical Lipschitz condition. The main tool used in the paper is a fixed point theorem for generalized contractions due to Browder-Matkowski. | URI: | http://hdl.handle.net/10553/71966 | ISSN: | 2560-6921 | DOI: | 10.23952/jnva.2.2018.1.03 | Source: | Journal Of Nonlinear And Variational Analysis [ISSN 2560-6921], v. 2 (1), p. 25-33, (2018) |
| Appears in Collections: | Artículos |
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