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

100%

Hammouche H., Guerbati K., Benchohra M., Abada N.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2013

tom 33

nr 2

149-170

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.

Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces

100%

Abada N., Benchohra M., Hammouche H., Ouahab A.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2007

tom 27

nr 2

329-347

In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.

Ograniczanie wyników

2 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Abada N.

2 Benchohra M.

2 Hammouche H.

1 Guerbati K.

1 Ouahab A.

1 2013

1 2007

Wyniki wyszukiwania

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

Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces