# ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative

### Manuel Duarte Ortigueira

#### 2009

#### Abstract

The Linear Scale Invariant Systems are introduced for both integer and fractional orders. They are defined by the generalized Euler-Cauchy differential equation. It is shown how to compute the impulse responses corresponding to the two regions of convergence of the transfer function. This is obtained by using the Mellin transform. The quantum fractional derivatives are used because they are suitable for dealing with this kind of systems.

#### References

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#### Paper Citation

#### in Harvard Style

Duarte Ortigueira M. (2009). **ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative** . In *Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,* ISBN 978-989-674-001-6, pages 196-202. DOI: 10.5220/0002246901960202

#### in Bibtex Style

@conference{icinco09,

author={Manuel Duarte Ortigueira},

title={ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative},

booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,},

year={2009},

pages={196-202},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002246901960202},

isbn={978-989-674-001-6},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 2: ICINCO,

TI - ON THE LINEAR SCALE FRACTIONAL SYSTEMS - An Application of the Fractional Quantum Derivative

SN - 978-989-674-001-6

AU - Duarte Ortigueira M.

PY - 2009

SP - 196

EP - 202

DO - 10.5220/0002246901960202