A solution to the fundamental linear complex-order differential equation

DOI10.1016/J.ADVENGSOFT.2008.12.014zbMath1185.34003OpenAlexW2012417193WikidataQ115362331 ScholiaQ115362331MaRDI QIDQ1046169

Jay L. Adams, Lynn I. Adams, Tom T. Hartley

Publication date: 21 December 2009

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2008.12.014

zbMATH Keywords

fractional calculusfractional-order systemsfractional-order differential equationscomplex-order derivativescomplex-order differential equationscomplex-order systems

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Fractional ordinary differential equations (34A08)

Related Items (3)

Optimal approximation of analog PID controllers of complex fractional-order ⋮ An examination of complex fractional order physical phenomena in IOPD controller design ⋮ A solution to the fundamental linear complex-order differential equation

Cites Work

• Unnamed Item
• A solution to the fundamental linear complex-order differential equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Dynamics and control of initialized fractional-order systems
• Stability properties for generalized fractional differential systems
• Fractional Derivatives of Imaginary Order
• On a Theorem of Schur and On Fractional Integrals of Purely Imaginary Order

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