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Matrix Approach and Analog Modeling for Solving Fractional Variable Order Differential Equations

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Advances in Modelling and Control of Non-integer-Order Systems

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 320))

Abstract

In the paper, a matrix approach for solving fractional variable order linear differential equations of an additive-switching type will be presented. Introduced method is based on a duality property between additive and recursive type of variable order differential definitions. Obtained solutions will be validated by comparing them with analog model results.

This work was supported by the Polish National Science Center with the decision number DEC-2011/03/D/ST7/00260.

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Correspondence to Wiktor Malesza .

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Malesza, W., Macias, M., Sierociuk, D. (2015). Matrix Approach and Analog Modeling for Solving Fractional Variable Order Differential Equations. In: Latawiec, K., Łukaniszyn, M., Stanisławski, R. (eds) Advances in Modelling and Control of Non-integer-Order Systems. Lecture Notes in Electrical Engineering, vol 320. Springer, Cham. https://doi.org/10.1007/978-3-319-09900-2_7

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  • DOI: https://doi.org/10.1007/978-3-319-09900-2_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09899-9

  • Online ISBN: 978-3-319-09900-2

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