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

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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

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Abbas S.

1 Abdalla Darwish M.

1 Benchohra M.

1 2016

Wyniki wyszukiwania

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