Existence results for fractional integro-differential inclusions with state-dependent delay

Giovana Siracusa, Hernán R. Henríquez, and Claudio Cuevas. "Existence results for fractional integro-differential inclusions with state-dependent delay." Nonautonomous Dynamical Systems 4.1 (2017): 62-77. <http://eudml.org/doc/288555>.

@article{GiovanaSiracusa2017,
abstract = {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.},
author = {Giovana Siracusa, Hernán R. Henríquez, Claudio Cuevas},
journal = {Nonautonomous Dynamical Systems},
keywords = {Fractional integral-differential inclusion; Multi-valued maps; Resolvent Operator; State-dependent delay},
language = {eng},
number = {1},
pages = {62-77},
title = {Existence results for fractional integro-differential inclusions with state-dependent delay},
url = {http://eudml.org/doc/288555},
volume = {4},
year = {2017},
}

TY - JOUR
AU - Giovana Siracusa
AU - Hernán R. Henríquez
AU - Claudio Cuevas
TI - Existence results for fractional integro-differential inclusions with state-dependent delay
JO - Nonautonomous Dynamical Systems
PY - 2017
VL - 4
IS - 1
SP - 62
EP - 77
AB - 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.
LA - eng
KW - Fractional integral-differential inclusion; Multi-valued maps; Resolvent Operator; State-dependent delay
UR - http://eudml.org/doc/288555
ER -