|Title:||Positive solutions for a class of fractional boundary value problems with fractional boundary conditions||Authors:||Azman, I.
López Brito, María Belén
Sadarangani Sadarangani, Kishin Bhagwands
|UNESCO Clasification:||12 Matemáticas||Keywords:||Fractional boundary value problem
Fractional integral boundary condition
Mixed monotone operator
|Issue Date:||2018||Journal:||Journal of Nonlinear Science and Applications||Abstract:||In this paper, we study the solvability of a nonlinear fractional differential equation under fractional integral boundary conditions. Via a mixed monotone operator method, some new results on the existence and uniqueness of a positive solution for the considered model are obtained. Moreover, we provide iterative sequences for approximating the solution. Some examples are also presented in order to illustrate the obtained result.||URI:||http://hdl.handle.net/10553/56267||ISSN:||2008-1898||DOI:||10.22436/jnsa.011.02.06||Source:||Journal of Nonlinear Science and Applications [ISSN 2008-1898], v. 11 (2), p. 237-251|
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