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

Chao Song | Zendy; Tao Zhu | Zendy; Jinde Cao | Zendy

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

Author(s) -

Chao Song,

Tao Zhu,

Jinde Cao

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/363562

Subject(s) - differential inclusion , order (exchange) , mathematics , fixed point theorem , fractional calculus , differential (mechanical device) , fixed point , differential equation , mathematical analysis , physics , thermodynamics , finance , economics

This paper investigates the existence of solutions for fractional-order neutral impulsive differentialinclusions with nonlocal conditions. Utilizing the fractional calculus and fixed point theoremfor 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

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