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- Title
Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions.
- Authors
Chao Song; Tao Zhu; Jinde Cao
- 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.
- Subjects
DIFFERENTIAL equations; DIFFERENTIAL inclusions; DIFFERENTIABLE dynamical systems; DYNAMICAL systems; SET-valued maps; MATHEMATICAL mappings
- Publication
Discrete Dynamics in Nature & Society, 2012, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2012/363562