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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Citations in EuDML Documents
top- Saïd Abbas, Mouffak Benchohra, Lech Górniewicz, Fractional order impulsive partial hyperbolic differential inclusions with variable times
- Said Abbas, Mouffak Benchohra, A global uniqueness result for fractional order implicit differential equations
- Saïd Abbas, Eman Alaidarous, Wafaa Albarakati, Mouffak Benchohra, Upper and lower solutions method for partial Hadamard fractional integral equations and inclusions
- Saïd Abbas, Mouffak Benchohra, Mohamed Abdalla Darwish, Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses
- Saïd Abbas, Mouffak Benchohra, Upper and Lower Solutions Method for Darboux Problem for Fractional Order Implicit Impulsive Partial Hyperbolic Differential Equations
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