Browsing by Author "Fabian Morales-Delgado, Victor"

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Citation - WoS: 75
Citation - Scopus: 111
Analytical solutions of the electrical rlc circuit via liouville-caputo operators with local and non-local kernels
(Mdpi, 2016) Francisco Gomez-Aguilar, Jose; Baleanu, Dumitru; Fabian Morales-Delgado, Victor; Antonio Taneco-Hernandez, Marco; Baleanu, Dumitru; Fabricio Escobar-Jimenez, Ricardo; Mohamed Al Qurashi, Maysaa; Matematik
In 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.
Citation - WoS: 99
Citation - Scopus: 110
Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
(Springeropen, 2016) Fabian Morales-Delgado, Victor; Baleanu, Dumitru; Francisco Gomez-Aguilar, Jose; Yepez-Martinez, Huitzilin; Baleanu, Dumitru; Fabricio Escobar-Jimenez, Ricardo; Hugo Olivares-Peregrino, Victor; Matematik
In this work, we present an analysis based on a combination of the Laplace transform and homotopy methods in order to provide a new analytical approximated solutions of the fractional partial differential equations (FPDEs) in the Liouville-Caputo and Caputo-Fabrizio sense. So, a general scheme to find the approximated solutions of the FPDE is formulated. The effectiveness of this method is demonstrated by comparing exact solutions of the fractional equations proposed with the solutions here obtained.