Impulsive fractional differential inclusions with state-dependent delay

Impulsive fractional differential inclusions with state-dependent delay

In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli. An example is provided to illustrate the main result.

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Bibliographic Details
Main Authors: Aissani Khalida, Benchohra Mouffak
Format: Article
Language:English
Published: University of Kragujevac, Faculty of Technical Sciences Čačak 2019-01-01
Series:Mathematica Moravica
Subjects:
impulsive fractional differential inclusions
a-resolvent family
solution operator
caputo fractional derivative
mild solution
multivalued map
fixed point
banach spaces
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2019/1450-59321902097A.pdf
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https://scindeks-clanci.ceon.rs/data/pdf/1450-5932/2019/1450-59321902097A.pdf

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