In this paper we are concerned with a class of abstract fractional integro-differential inclusions with infinite state-dependent delay. Our approach is based on the existence of a resolvent operator for the homogeneous equation.We establish the existence of mild solutions using both contractive maps and condensing maps. Finally, an application to the theory of heat conduction in materials with memory is given.
@article{bwmeta1.element.doi-10_1515_msds-2017-0007,
author = {Giovana Siracusa and Hern\'an R. Henr\'\i quez and Claudio Cuevas},
title = {Existence results for fractional integro-differential inclusions with state-dependent delay},
journal = {Nonautonomous Dynamical Systems},
volume = {4},
year = {2017},
pages = {62-77},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0007}
}
Giovana Siracusa; Hernán R. Henríquez; Claudio Cuevas. Existence results for fractional integro-differential inclusions with state-dependent delay. Nonautonomous Dynamical Systems, Tome 4 (2017) pp. 62-77. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_msds-2017-0007/