Upper and Lower Solutions Method for Partial Discontinuous Fractional Differential Inclusions with not Instantaneous Impulses
Journal Title: Discussiones Mathematicae Differential Inclusions Control and Optimization - Year 2016, Vol 36, Issue 2
Abstract
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 studies the existence of extremal solutions under Lipschitz, Carathéodory and certain monotonicity conditions.
Authors and Affiliations
Saïd Abbas, Mouffak Benchohra
Keywords
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- DOI 10.7151/dmdico.1184
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