**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**32919

##### Application of a SubIval Numerical Solver for Fractional Circuits

**Authors:**
Marcin Sowa

**Abstract:**

**Keywords:**
Numerical method,
SubIval,
fractional calculus,
numerical solver,
circuit analysis.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1474309

**References:**

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[21] R. Garrappa, ”On accurate product integration rules for linear fractional differential equations”, Journal of Computational and Applied Mathematics 235, 1085–1097 (2011).

[22] M. Sowa, ”A subinterval-based method for circuits with fractional order elements”, Bull. Pol. Acad. Sci.: Tech. 62 (3), 449–454 (2014).

[23] M. Sowa, ”Solutions of Circuits with Fractional, Nonlinear Elements by Means of a SubIval Solver”, In Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol. 496, Springer (2018).

[24] M. Sowa, ”The subinterval-based method and its potential improvements”, XXXIX International Conference IC-SPETO 2016, Gliwice-Ustron, 18-21.05.2016 (2016).

[25] M. Sowa, ”SubIval computation time assessment”, Proceedings of International Interdisciplinary PhD Workshop 2017. IIPhDW 2017, September 9-11, 2017, Lodz (2017).

[26] M. Sowa, ”Application of SubIval in solving initial value problems with fractional derivatives”, Applied Mathematics and Computation 319, 86–103 (2018).

[27] M. Sowa, ”Application of SubIval, a method for fractional-order derivative computations in IVPs”, In Theory and applications of non-integer order systems. Lecture Notes in Electrical Engineering, vol. 407, Springer (2017).

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[29] http://msowascience.com.

[30] http://www.mathworks.com/products/matlab.html.

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[32] M. Sowa, ”“gcdAlpha” – a semi-analytical method for solving fractional state equations”, Computer Applications in Electrical Engineering 96, 231–242 (2018).