Browsing by Author "Mohamed Al Qurashi, Maysaa"
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Article Citation Count: Gomez-Aguilar, J.F...et al. (2016). Analytical solutions of the electrical rlc circuit via liouville-caputo operators with local and non-local kernels. Entropy, 18(8). http://dx.doi.org/10.3390/e18080402Analytical solutions of the electrical rlc circuit via liouville-caputo operators with local and non-local kernels(MDPI AG, 2016) Francisco Gomez-Aguilar, Jose; Fabian Morales-Delgado, Victor; Antonio Taneco-Hernandez, Marco; Baleanu, Dumitru; Fabricio Escobar-Jimenez, Ricardo; Mohamed Al Qurashi, MaysaaIn this work we obtain analytical solutions for the electrical RLC circuit model defined with Liouville-Caputo, Caputo-Fabrizio and the new fractional derivative based in the Mittag-Leffler function. Numerical simulations of alternative models are presented for evaluating the effectiveness of these representations. Different source terms are considered in the fractional differential equations. The classical behaviors are recovered when the fractional order a is equal to 1.