Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions

Chao Song, Tao Zhu and Jinde Cao

Discrete Dynamics in Nature and Society, 2012, vol. 2012, 1-14

Abstract:

This paper investigates the existence of solutions for fractional-order neutral impulsive differential inclusions with nonlocal conditions. Utilizing the fractional calculus and fixed point theorem for multivalued maps, new sufficient conditions are derived for ensuring the existence of solutions. The obtained results improve and generalize some existed results. Finally, an illustrative example is given to show the effectiveness of theoretical results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:363562

DOI: 10.1155/2012/363562

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