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

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. T...

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Published in:Discrete Dynamics in Nature and Society 2012-01, Vol.2012 (2012), p.1101-1114-076
Main Authors: Song, Chao, Zhu, Tao, Cao, Jinde
Format: Article
Language:English
Subjects:
Banach spaces
Boundary conditions
Calculus
Cauchy problems
Dynamics
Existence theorems
Inclusions
Mathematical analysis
Mathematical functions
Studies
Theorems
Theory
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description 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.
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subjects Banach spaces
Boundary conditions
Calculus
Cauchy problems
Dynamics
Existence theorems
Inclusions
Mathematical analysis
Mathematical functions
Studies
Theorems
Theory
title Existence of Solutions for Fractional-Order Neutral Differential Inclusions with Impulsive and Nonlocal Conditions
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