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

• Autorzy: Giovana Siracusa , Hernán R. Henríquez , Claudio Cuevas
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Fractional integral-differential inclusion; Multi-valued maps; Resolvent Operator; State-dependent delay

Kategorie tematyczne

• 34K30: Equations in abstract spaces
• 34K09: Functional-differential inclusions
• 34K37: Functional-differential equations with fractional derivatives
• 34G25: Evolution inclusions

• Wydawca: De Gruyter Open
• Czasopismo: Nonautonomous Dynamical Systems
• Rocznik: 2017
• Tom: 4
• Numer: 1
• Strony: 62-77

Daty

wydano

2017-10-26

otrzymano

2017-03-13

zaakceptowano

2017-09-25

online

2017-10-25

Twórcy

autor

Giovana Siracusa

• , CEP 49100-00,

autor

Hernán R. Henríquez

• ,

autor

Claudio Cuevas

• , CEP 50540-740,

Identyfikatory

DOI

10.1515/msds-2017-0007