✦ LIBER ✦

Some new existence results for fractional differential inclusions with boundary conditions

✍ Scribed by Yong-Kui Chang; Juan J. Nieto

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 424 KB
Volume: 49
Category: Article
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.03.014

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✦ Synopsis

This paper is mainly concerned with the existence of solutions for a certain class of fractional differential inclusions with boundary conditions. By using Bohnenblust-Karlin's fixed point theorem, a main existence theorem is obtained. As an application of this main theorem, we establish two existence results when the multi-valued nonlinearity F has sublinear or linear growth in the state variable y. Our results are even new when applied to a corresponding single-valued problem.

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