Fractional integro-differential inclusions with state-dependent delay
Khalida Aissani; Mouffak Benchohra; Khalil Ezzinbi
Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2014)
- Volume: 34, Issue: 2, page 153-167
- ISSN: 1509-9407
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topKhalida Aissani, Mouffak Benchohra, and Khalil Ezzinbi. "Fractional integro-differential inclusions with state-dependent delay." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 34.2 (2014): 153-167. <http://eudml.org/doc/270531>.
@article{KhalidaAissani2014,
abstract = {In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.},
author = {Khalida Aissani, Mouffak Benchohra, Khalil Ezzinbi},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {fractional integro-differential inclusions; Caputo fractional derivative; mild solution; multivalued map; Bohnenblust-Karlin's fixed point; state-dependent delay},
language = {eng},
number = {2},
pages = {153-167},
title = {Fractional integro-differential inclusions with state-dependent delay},
url = {http://eudml.org/doc/270531},
volume = {34},
year = {2014},
}
TY - JOUR
AU - Khalida Aissani
AU - Mouffak Benchohra
AU - Khalil Ezzinbi
TI - Fractional integro-differential inclusions with state-dependent delay
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2014
VL - 34
IS - 2
SP - 153
EP - 167
AB - In this paper, we establish sufficient conditions for the existence of mild solutions for fractional integro-differential inclusions with state-dependent delay. The techniques rely on fractional calculus, multivalued mapping on a bounded set and Bohnenblust-Karlin's fixed point theorem. Finally, we present an example to illustrate the theory.
LA - eng
KW - fractional integro-differential inclusions; Caputo fractional derivative; mild solution; multivalued map; Bohnenblust-Karlin's fixed point; state-dependent delay
UR - http://eudml.org/doc/270531
ER -
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