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Title: | Existence and uniqueness of mild solutions for a fractional differential equation under Sturm-Liouville boundary conditions when the data function is of Lipschitzian type | Authors: | Harjani, Jackie López, Belén Sadarangani, Kishin |
UNESCO Clasification: | 120219 Ecuaciones diferenciales ordinarias 120299 Otras (especificar) |
Keywords: | Boundary value problem Fractional differential Equation Mild solution |
Issue Date: | 2020 | Project: | Existencia Y Unicidad De Soluciones En Ecuaciones Integrales, Funcionales Y Diferenciales Mediante Puntos Fijos | Journal: | Demonstratio Mathematica | Abstract: | In this article, we present a sufficient condition about the length of the interval for the existence and uniqueness of mild solutions to a fractional boundary value problem with Sturm-Liouville boundary conditions when the data function is of Lipschitzian type. Moreover, we present an application of our result to the eigenvalues problem and its connection with a Lyapunov-type inequality. | URI: | https://accedacris.ulpgc.es/handle/10553/74679 | ISSN: | 0420-1213 | DOI: | 10.1515/dema-2020-0014 | Source: | Demonstratio Mathematica [ISSN 0420-1213], v. 53 (1), p. 167-173, (Enero 2020) |
Appears in Collections: | Artículos |
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