@inproceedings{290a838f4bd0411dab45c3ebea767329,
title = "Application of subival, a method for fractional-order derivative computations in IVPS",
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 = "Circuit analysis, Fractional calculus, Integro-differential Equations, Numerical analysis",
author = "Marcin Sowa",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; 8th Conference on Non-integer Order Calculus and Its Applications, RRNR 2016 ; Conference date: 20-09-2016 Through 21-09-2016",
year = "2017",
doi = "10.1007/978-3-319-45474-0\_43",
language = "English",
isbn = "9783319454733",
series = "Lecture Notes in Electrical Engineering",
publisher = "Springer Verlag",
pages = "489--499",
editor = "Artur Babiarz and Adam Czornik and Jerzy Klamka and Micha{\l} Niezabitowski",
booktitle = "Theory and Applications of Non-integer Order Systems - 8th Conference on Non-integer Order Calculus and Its Applications",
address = "Germany",
}