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

100%

Abbas S., Benchohra M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2010

tom 30

nr 1

141-161

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.

Fractional order impulsive partial hyperbolic differential inclusions with variable times

100%

Abbas S., Benchohra M., Górniewicz L.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2011

tom 31

nr 1

91-114

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.

Impulsive Hyperbolic System of Partial Differential Equations of Fractional Order with Delay

100%

Benchohra M., Boutefal Z.

Commentationes Mathematicae

2014

tom 54

nr 2

This paper deals with the existence of solutions to impulsive partial hyperbolic differential equations with finite delay, involving the Caputo fractional derivative. Our results will be obtained using Krasnoselskii fixed point theorem.

Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses

84%

Abbas S., Benchohra M., Abdalla Darwish M.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2016

tom 36

nr 2

155-179

In this paper, we use the upper and lower solutions method combined with a fixed point theorem for multivalued maps in Banach algebras due to Dhage for investigations of the existence of solutions of a class of discontinuous partial differential inclusions with not instantaneous impulses. Also, we study the existence of extremal solutions under Lipschitz, Carath´eodory and certain monotonicity conditions

Ograniczanie wyników

3 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Commentationes Mathematicae

4 Benchohra M.

3 Abbas S.

1 Abdalla Darwish M.

1 Boutefal Z.

1 Górniewicz L.

1 2016

1 2014

1 2011

1 2010

Wyniki wyszukiwania

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

Fractional order impulsive partial hyperbolic differential inclusions with variable times

Impulsive Hyperbolic System of Partial Differential Equations of Fractional Order with Delay

Upper and lower solutions method for partial discontinuous fractional differential inclusions with not instantaneous impulses