Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay

Mouffak Benchohra, Omar Bennihi, and Khalil Ezzinbi. "Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay." Commentationes Mathematicae 53.1 (2013): null. <http://eudml.org/doc/291804>.

@article{MouffakBenchohra2013,
abstract = {In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with $\alpha $-resolvent family is the main tool in our analysis.},
author = {Mouffak Benchohra, Omar Bennihi, Khalil Ezzinbi},
journal = {Commentationes Mathematicae},
keywords = {semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space},
language = {eng},
number = {1},
pages = {null},
title = {Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay},
url = {http://eudml.org/doc/291804},
volume = {53},
year = {2013},
}

TY - JOUR
AU - Mouffak Benchohra
AU - Omar Bennihi
AU - Khalil Ezzinbi
TI - Semilinear Functional Differential Equations of Fractional order with State-Dependent Delay
JO - Commentationes Mathematicae
PY - 2013
VL - 53
IS - 1
SP - null
AB - In this paper we provide sufficient conditions for the existence and uniqueness of mild solutions for a class of semilinear functional differential equations of fractional order with state-dependent delay. The nonlinear alternative of Frigon-Granas type for contractions maps in Frechet spaces combined with $\alpha $-resolvent family is the main tool in our analysis.
LA - eng
KW - semilinear functional differential equation, mild solution, resolvent family, fixed point, state-dependent delay, contractive map, Frechet space
UR - http://eudml.org/doc/291804
ER -