A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces

A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces

Abstract In this paper we introduce the concept of a PC-mild solution to a general new class of noninstantaneous impulsive fractional differential inclusions involving the generalized Caputo derivative with the lower bound at zero in infinite dimensional Banach spaces. Using the formula of a PC-mild...

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Bibliographic Details
Main Authors: JinRong Wang, AG Ibrahim, D O’Regan, Yong Zhou
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Advances in Difference Equations
Subjects:
noninstantaneous impulsive
fractional differential inclusions
multivalued functions
measure of noncompactness
compactness of solutions set
Ulam-Hyers stability
Online Access:http://link.springer.com/article/10.1186/s13662-017-1342-8

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http://link.springer.com/article/10.1186/s13662-017-1342-8

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