Set-valued system of fractional differential equations with hysteresis

DOI10.1016/j.amc.2009.11.023zbMath1188.34006OpenAlexW2014061129MaRDI QIDQ2266957

Hussein A. H. Salem, Mieczysław Cichoń

Publication date: 26 February 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.11.023

zbMATH Keywords

hysteresisfractional calculusset-valued problem

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Hysteresis for ordinary differential equations (34C55) Fractional ordinary differential equations (34A08)

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Cites Work

• Global existence theory and chaos control of fractional differential equations
• Differential models of hysteresis
• Recent applications of fractional calculus to science and engineering
• On nonlinear Fredholm--Volterra integral equations with hysteresis
• On the existence and uniqueness of solutions of a class of fractional differential equations
• Existence of fractional integral equation with hysteresis
• Solvability of Urysohn and Urysohn--Volterra equations with hysteresis in weighted spaces
• Existence of fractional differential equations
• An abstract Gronwall lemma and applications to global existence results for functional differential and integral equations of fractional order
• Differential equations of fractional order:methods results and problem —I
• Set-valued integral equations of fractional-orders
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