Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions. (English) Zbl 1205.34003

Ahmad, Bashir; Nieto, Juan J.

Comput. Math. Appl. 58, No. 9, 1838-1843 (2009).

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 [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.

Reviewer: Marcos Rabelo (Pernambuco)

MSC:

34A08	Fractional ordinary differential equations
34B10	Nonlocal and multipoint boundary value problems for ordinary differential equations
34B27	Green’s functions for ordinary differential equations
47H09	Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Keywords:

coupled systems; fractional differential equations; existence; Schauder’s fixed point theorem

Citations:

Zbl 1163.34321

Software:

FODE

References:

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