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Application of SubIval, a Method for Fractional-Order Derivative Computations in IVPs

  • Marcin SowaEmail author
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 407)

Abstract

The paper concerns a numerical method for the computations of the fractional derivative in initial value problems. The method bases on a partition of the integrodifferentiation interval into subintervals. It has been referred to previously as the subinterval-based method and is now called SubIval (for simpler reference). The subintervals are modified during a time stepping process – this is determined by an original subinterval dynamics algorithm. The method is mainly built in order to aid in solving problems of circuit theory. Hence, two examples have been introduced to ascertain the method, where both use a fractional order capacitor and a fractional order coil.

Keywords

Fractional calculus Numerical analysis Circuit analysis Integrodifferential equations 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Electric Engineering and Computer ScienceSilesian University of TechnologyGliwicePoland

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