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Ahmad, Bashir; Nieto, Juan J.

Existence of solutions for nonlocal boundary value problems of higher-order nonlinear fractional differential equations. (English) Zbl 1186.34009

Abstr. Appl. Anal. 2009, Article ID 494720, 9 p. (2009).
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.
Reviewer: Neville Ford (Chester)

Cited in 88 Documents

MSC:

34A08 Fractional ordinary differential equations
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
47N20 Applications of operator theory to differential and integral equations

Keywords:

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

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