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

Autor: Siracusa Giovana, Henríquez Hernán R., Cuevas Claudio
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Nonautonomous Dynamical Systems, Vol 4, Iss 1, Pp 62-77 (2017)
Druh dokumentu: article
ISSN: 2353-0626
DOI: 10.1515/msds-2017-0007
Popis: 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.
Databáze: Directory of Open Access Journals