# Fractional order impulsive partial hyperbolic differential inclusions with variable times

Saïd Abbas; Mouffak Benchohra; Lech Górniewicz

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2011)

- Volume: 31, Issue: 1, page 91-114
- ISSN: 1509-9407

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topSaïd Abbas, Mouffak Benchohra, and Lech Górniewicz. "Fractional order impulsive partial hyperbolic differential inclusions with variable times." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 31.1 (2011): 91-114. <http://eudml.org/doc/271200>.

@article{SaïdAbbas2011,

abstract = {This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.},

author = {Saïd Abbas, Mouffak Benchohra, Lech Górniewicz},

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

keywords = {impulsive functional differential inclusions; fractional order; solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; variable times; fixed point},

language = {eng},

number = {1},

pages = {91-114},

title = {Fractional order impulsive partial hyperbolic differential inclusions with variable times},

url = {http://eudml.org/doc/271200},

volume = {31},

year = {2011},

}

TY - JOUR

AU - Saïd Abbas

AU - Mouffak Benchohra

AU - Lech Górniewicz

TI - Fractional order impulsive partial hyperbolic differential inclusions with variable times

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2011

VL - 31

IS - 1

SP - 91

EP - 114

AB - This paper deals with the existence of solutions to some classes of partial impulsive hyperbolic differential inclusions with variable times involving the Caputo fractional derivative. Our works will be considered by using the nonlinear alternative of Leray-Schauder type.

LA - eng

KW - impulsive functional differential inclusions; fractional order; solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; variable times; fixed point

UR - http://eudml.org/doc/271200

ER -

## References

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