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Zbl 1186.34009
Ahmad, Bashir; Nieto, Juan J.
Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations. (English)
[J] Abstr. Appl. Anal. 2009, Article ID 494720, 9 p. (2009). ISSN 1085-3375; ISSN 1687-0409/e

The paper studies some existence results for non-local boundary value problems for fractional differential equations of order greater than unity. Following preliminaries in which definitions are provided, the main part of the paper provides two results on existence and uniqueness of solutions obtained using contraction mappings and the Krasnoselskii fixed point theorem. The paper concludes with some examples.
[Neville Ford (Chester)]

MSC 2000:: *34A08
34B10 Multipoint boundary value problems
47N20 Appl. of operator theory to differential and integral equations

Keywords: fractional differential equations; boundary value problems; existence theory

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