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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Main Authors: JinRong Wang, AG Ibrahim, D O’Regan, Yong Zhou
Format: Artigo
Jezik:Inglês
Izdano: SpringerOpen 2017-09-01
Serija:Advances in Difference Equations
Teme:
noninstantaneous impulsive
fractional differential inclusions
multivalued functions
measure of noncompactness
compactness of solutions set
Ulam-Hyers stability
Online dostop:http://link.springer.com/article/10.1186/s13662-017-1342-8
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