# The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2010)

- Volume: 30, Issue: 1, page 141-161
- ISSN: 1509-9407

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topSaïd Abbas, and Mouffak Benchohra. "The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 30.1 (2010): 141-161. <http://eudml.org/doc/271178>.

@article{SaïdAbbas2010,

abstract = {In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.},

author = {Saïd Abbas, Mouffak Benchohra},

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

keywords = {impulsive hyperbolic differential inclusion; fractional order; upper solution; lower solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; fixed point; Caputo fractional-order derivative, fixed point},

language = {eng},

number = {1},

pages = {141-161},

title = {The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses},

url = {http://eudml.org/doc/271178},

volume = {30},

year = {2010},

}

TY - JOUR

AU - Saïd Abbas

AU - Mouffak Benchohra

TI - The method of upper and lower solutions for partial hyperbolic fractional order differential inclusions with impulses

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2010

VL - 30

IS - 1

SP - 141

EP - 161

AB - In this paper we use the upper and lower solutions method to investigate the existence of solutions of a class of impulsive partial hyperbolic differential inclusions at fixed moments of impulse involving the Caputo fractional derivative. These results are obtained upon suitable fixed point theorems.

LA - eng

KW - impulsive hyperbolic differential inclusion; fractional order; upper solution; lower solution; left-sided mixed Riemann-Liouville integral; Caputo fractional-order derivative; fixed point; Caputo fractional-order derivative, fixed point

UR - http://eudml.org/doc/271178

ER -

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