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Nonlinear fractional cone systems with the Caputo derivative

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2012Publisher:Elsevier BVJournal:Applied Mathematics Letters, volume 25, pages 752-756 (issn: 0893-9659,

Authors: Ewa Girejko; Dorota Mozyrska; Małgorzata Wyrwas;

doi: 10.1016/j.aml.2011.10.015

Nonlinear fractional cone systems with the Caputo derivative

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Abstract

AbstractNonlinear fractional cone systems involving the Caputo fractional derivative are considered. We establish sufficient conditions for the existence of at least one cone solution to such systems. Sufficient conditions for the unique existence of the cone solution to a nonlinear fractional cone system are given.

Related Organizations

Bialystok University of Technology
Poland

Keywords

Cone systems, Viability, Applied Mathematics, Fractional derivative, Fractional differential equation

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FCT| GENERALIZED DIFFERENTIALS IN DYNAMICAL INCLUSIONS ON TIME SCALES AND OPTIMAL CONTROL