Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces

Zuomao Yan, and Hongwu Zhang. "Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces." Annales Polonici Mathematici 110.2 (2014): 143-169. <http://eudml.org/doc/280217>.

@article{ZuomaoYan2014,
abstract = {We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the theory.},
author = {Zuomao Yan, Hongwu Zhang},
journal = {Annales Polonici Mathematici},
keywords = {impulsive integro-differential inclusions; fractional partial neutral integro-differential inclusions; multi-valued map; state-dependent delay; $\alpha $-resolvent operator},
language = {eng},
number = {2},
pages = {143-169},
title = {Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces},
url = {http://eudml.org/doc/280217},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Zuomao Yan
AU - Hongwu Zhang
TI - Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 2
SP - 143
EP - 169
AB - We study the existence of mild solutions for a class of impulsive fractional partial neutral integro-differential inclusions with state-dependent delay. We assume that the undelayed part generates an α-resolvent operator and transform it into an integral equation. Sufficient conditions for the existence of solutions are derived by means of the fixed point theorem for discontinuous multi-valued operators due to Dhage and properties of the α-resolvent operator. An example is given to illustrate the theory.
LA - eng
KW - impulsive integro-differential inclusions; fractional partial neutral integro-differential inclusions; multi-valued map; state-dependent delay; $\alpha $-resolvent operator
UR - http://eudml.org/doc/280217
ER -