Impulsive fractional differential inclusions with infinite delay
Electronic journal of differential equations, Tome 2013 (2013)
In this article, we apply Bohnenblust-Karlin's fixed point theorem to prove the existence of mild solutions for a class of impulsive fractional equations inclusions with infinite delay. An example is given to illustrate the theory.
Classification :
26A33, 34A08, 34A37, 34A60, 34G20, 34H05, 34K09
Keywords: impulsive fractional differential inclusions, alpha-resolvent family, Caputo fractional derivative, mild solution, multivalued map, fixed point, Banach space
Keywords: impulsive fractional differential inclusions, alpha-resolvent family, Caputo fractional derivative, mild solution, multivalued map, fixed point, Banach space
@article{EJDE_2013__2013__a149,
author = {Aissani, Khalida and Benchohra, Mouffak},
title = {Impulsive fractional differential inclusions with infinite delay},
journal = {Electronic journal of differential equations},
year = {2013},
volume = {2013},
zbl = {1295.34084},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a149/}
}
Aissani, Khalida; Benchohra, Mouffak. Impulsive fractional differential inclusions with infinite delay. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a149/