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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-2-4,
author = {Zuomao Yan and Hongwu Zhang},
title = {Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces},
journal = {Annales Polonici Mathematici},
volume = {111},
year = {2014},
pages = {143-169},
zbl = {06259435},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-2-4}
}
Zuomao Yan; Hongwu Zhang. Existence of solutions for impulsive fractional partial neutral integro-differential inclusions with state-dependent delay in Banach spaces. Annales Polonici Mathematici, Tome 111 (2014) pp. 143-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap110-2-4/