Existence of solutions to differential inclusions with fractional order and impulses

Existence of solutions to differential inclusions with fractional order and impulses

We establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional derivative. We consider the cases when the multivalued nonlinear term takes convex values as well as nonconvex...

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Bibliographic Details
Main Authors: Mouffak Benchohra, Samira Hamani, Juan Jose Nieto, Boualem Attou Slimani
Format: Article
Language:English
Published: Texas State University 2010-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Initial value problem
impulses
differential inclusion
Caputo fractional derivative
fractional integral
existence
uniqueness
fixed point
Online Access:http://ejde.math.txstate.edu/Volumes/2010/80/abstr.html

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http://ejde.math.txstate.edu/Volumes/2010/80/abstr.html

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