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Zbl 1205.34003
Ahmad, Bashir; Nieto, Juan J.
Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. (English)
[J] Comput. Math. Appl. 58, No. 9, 1838-1843 (2009). ISSN 0898-1221

The paper mainly concerns the existence of a solution to a class of boundary value problems for coupled systems of nonlinear fractional differential equations. The article is very similar to the reference [{\it X. Su}, Appl. Math. Lett. 22, No.~1, 64--69 (2009; Zbl 1163.34321)]. The novelty is the condition on the boundary which introduces more difficulty in the analysis of the existence of solutions. In particular, the result is obtained by the Schauder fixed point theorem to an operator defined on a suitable function space.
[Marcos Rabelo (Pernambuco)]

MSC 2000:: *34A08
34B10 Multipoint boundary value problems
34B27 Green functions
47H09 Mappings defined by "shrinking" properties

Keywords: coupled systems; fractional differential equations; existence; Schauder's fixed point theorem

Citations: Zbl 1163.34321

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