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Browsing by Author "Yepez-Martinez, H."

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    Citation - WoS: 101
    Citation - Scopus: 102
    Beta-Derivative and Sub-Equation Method Applied to The Optical Solitons in Medium With Parabolic Law Nonlinearity and Higher Order Dispersion
    (Elsevier Gmbh, Urban & Fischer verlag, 2018) Yepez-Martinez, H.; Baleanu, Dumitru; Gomez-Aguilar, J. F.; Baleanu, Dumitru; 56389; Matematik
    By using the sub-equation method, we construct the analytical solutions of the space-time generalized nonlinear Schrodinger equation involving the beta-derivative. This equation describing the propagation of ultra-short optical solitons through parabolic law medium. Nonlinear perturbations of higher-order and self-steepening terms are taken into account. As a result, some new exact solutions are constructed under constraint conditions. (C) 2017 Elsevier GmbH. All rights reserved.
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    Citation - WoS: 68
    Citation - Scopus: 90
    Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel
    (Springeropen, 2016) Gomez-Aguilar, J. F.; Baleanu, Dumitru; Torres, L.; Yepez-Martinez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O.; Matematik
    This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the Caputo-Fabrizio fractional operator. For such a model, we derive a new approximated analytical solution by using the Laplace homotopy analysis method. Both the efficiency and the accuracy of the method are verified by comparing the obtained solutions with the exact analytical solution. Good agreement between them is confirmed.