Nonlinear fractional cone systems with the Caputo derivative

Nonlinear fractional cone systems with the Caputo derivative

Nonlinear 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 a...

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Veröffentlicht in:Applied mathematics letters 2012-04, Vol.25 (4), p.752-756
Hauptverfasser: Mozyrska, Dorota, Girejko, Ewa, Wyrwas, Małgorzata
Format: Artikel
Sprache:eng
Schlagworte:
Cone systems
Derivatives
Fractional derivative
Fractional differential equation
Mathematical analysis
Nonlinearity
Viability
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Zusammenfassung:Nonlinear 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.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.10.015