Insights Into the Fractional Order Initial Value Problem Via Semi-Infinite Systems

Tom T. Hartley; Carl F. Lorenzo

doi:10.1615/CritRevBiomedEng.v36.i1.20

Critical Reviews™ in Biomedical Engineering

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ISSN Druckformat: 0278-940X

ISSN Online: 1943-619X

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Insights Into the Fractional Order Initial Value Problem Via Semi-Infinite Systems

Volumen 36, Ausgabe 1, 2008, pp. 1-21

DOI: 10.1615/CritRevBiomedEng.v36.i1.20

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Tom T. Hartley
Department of Electrical and Computer Engineering, University of Akron, USA

Carl F. Lorenzo
National Aeronautics and Space Administration, Glenn Research Center, Cleveland, Ohio, USA

ABSTRAKT

This paper considers various aspects of the initial value problem for fractional order differential equations. The main contribution of this paper is to use the solutions to known spatially distributed systems to demonstrate that fractional differintegral operators require an initial condition term that is time-varying due to past distributed storage of information.

REFERENZIERT VON

Hartley Tom T., Veillette Robert J., Adams Jay L., Lorenzo Carl F., Energy storage and loss in fractional‐order circuit elements, IET Circuits, Devices & Systems, 9, 3, 2015. Crossref
Hartley Tom T., Trigeassou Jean-Claude, Lorenzo Carl F., Maamri Nezha, Energy Storage and Loss in Fractional-Order Systems, Journal of Computational and Nonlinear Dynamics, 10, 6, 2015. Crossref

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