# Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces

Hadda Hammouche; Kaddour Guerbati; Mouffak Benchohra; Nadjat Abada

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2013)

- Volume: 33, Issue: 2, page 149-170
- ISSN: 1509-9407

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topHadda Hammouche, et al. "Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 33.2 (2013): 149-170. <http://eudml.org/doc/270480>.

@article{HaddaHammouche2013,

abstract = {In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type.},

author = {Hadda Hammouche, Kaddour Guerbati, Mouffak Benchohra, Nadjat Abada},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {fractional calculus; caputo fractional derivative; multivalued map; differential inclusions; mild solution; fixed point},

language = {eng},

number = {2},

pages = {149-170},

title = {Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces},

url = {http://eudml.org/doc/270480},

volume = {33},

year = {2013},

}

TY - JOUR

AU - Hadda Hammouche

AU - Kaddour Guerbati

AU - Mouffak Benchohra

AU - Nadjat Abada

TI - Existence results for impulsive semilinear fractional differential inclusions with delay in Banach spaces

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2013

VL - 33

IS - 2

SP - 149

EP - 170

AB - In this paper, we introduce a new concept of mild solution of some class of semilinear fractional differential inclusions of order 0 < α < 1. Also we establish an existence result when the multivalued function has convex values. The result is obtained upon the nonlinear alternative of Leray-Schauder type.

LA - eng

KW - fractional calculus; caputo fractional derivative; multivalued map; differential inclusions; mild solution; fixed point

UR - http://eudml.org/doc/270480

ER -

## References

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