Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method

  • Zahra W
  • Hikal M
  • Bahnasy T
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Abstract

In this article, fractional linear electrical systems are investigated. Analytical solutions of the fractional models are derived using Laplace transform method. Also, numerical simulations using Grünwald–Letnikov definition are proposed. Comparisons between fractional and classical electrical systems are illustrated using Laplace transform and nonstandard finite difference method.

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Zahra, W. K., Hikal, M. M., & Bahnasy, T. A. (2017). Solutions of fractional order electrical circuits via Laplace transform and nonstandard finite difference method. Journal of the Egyptian Mathematical Society, 25(2), 252–261. https://doi.org/10.1016/j.joems.2017.01.007

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