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Journal of Electromagnetic Waves and Applications Volume 29, 2015 - Issue 6
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Articles

Universal character of the fractional space-time electromagnetic waves in dielectric media

J.F. Gómez-AguilarCentro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490Cuernavaca, Morelos, México.Correspondence[email protected]
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H. Yépez-MartínezUniversidad Autónoma de la Ciudad de México, Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, P.O. Box 09790México, DF, Mexico.View further author information
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R.F. Escobar-JiménezCentro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490Cuernavaca, Morelos, México.View further author information
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C.M. Astorga-ZaragozaCentro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490Cuernavaca, Morelos, México.View further author information
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L.J. Morales-MendozaFacultad de Ingeniería en Electrónica y Comunicaciones, Campus: Poza Rica - Tuxpan. Universidad Veracruzana, Av. Venustiano Carranza s/n, Col. Revolución, C.P. 93390Poza Rica Veracruz, Mexico.View further author information
&
M. González-LeeFacultad de Ingeniería en Electrónica y Comunicaciones, Campus: Poza Rica - Tuxpan. Universidad Veracruzana, Av. Venustiano Carranza s/n, Col. Revolución, C.P. 93390Poza Rica Veracruz, Mexico.View further author information
Pages 727-740 | Received 19 Nov 2014, Accepted 30 Jan 2015, Published online: 18 Mar 2015

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Chao Rong & Bo Zhang. (2019) Fractional electromagnetic waves in circular waveguides with fractional-order inductance characteristics. Journal of Electromagnetic Waves and Applications 33:16, pages 2142-2154.
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J. F. Gómez-Aguilar, R. F. Escobar-Jiménez, M. G. López-López & V. M. Alvarado-Martínez. (2016) Atangana-Baleanu fractional derivative applied to electromagnetic waves in dielectric media. Journal of Electromagnetic Waves and Applications 30:15, pages 1937-1952.
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J. F. Gomez-Aguilar, R. F. Escobar-Jimenez, M. G. Lopez-Lopez, V. M. Alvarado-Martinez & T. Cordova-Fraga. (2016) Electromagnetic waves in conducting media described by a fractional derivative with non-singular kernel. Journal of Electromagnetic Waves and Applications 30:11, pages 1493-1503.
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J.F. Gómez-Aguilar, H. Yépez-Martínez, C. Calderón-Ramón, M. Benavidez-Cruz & L.J. Morales-Mendoza. (2016) Fractional electromagnetic waves in conducting media. Journal of Electromagnetic Waves and Applications 30:2, pages 259-271.
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Articles from other publishers (18)

Kehong Zheng, Ali Raza, Ahmed M. Abed, Hina Khursheed, Laila F. Seddek, Ali Hasan Ali & Absar Ul Haq. (2023) New fractional approach for the simulation of and mixed hybrid nanofluid flowing through a channel: Fractal fractional derivative . Case Studies in Thermal Engineering 45, pages 102948.
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S. Borjon-Espejel, J.E. Escalante-Martinez & P. Padilla-Longoria. (2022) Newtonian gravity and MOND: a fractional Fourier approach. Indian Journal of Physics 96:12, pages 3405-3411.
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Luciano Mescia, Pietro Bia & Diego Caratelli. (2022) FDTD-Based Electromagnetic Modeling of Dielectric Materials with Fractional Dispersive Response. Electronics 11:10, pages 1588.
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Krunal B. Kachhia & Abdon Atangana. (2021) Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel. Discrete & Continuous Dynamical Systems - S 14:7, pages 2357.
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Li Zhang, Aslihan Kartci, Ahmed Elwakil, Hakan Bagci & Khaled N. Salama. (2021) Fractional-Order Inductor: Design, Simulation, and Implementation. IEEE Access 9, pages 73695-73702.
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A. Ortega, J.J. Rosales, J.M. Cruz-Duarte & M. Guía. (2019) Fractional model of the dielectric dispersion. Optik 180, pages 754-759.
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Abdon Atangana & Rubayyi T. Alqahtani. (2019) A new approach to capture heterogeneity in groundwater problem: An illustration with an Earth equation. Mathematical Modelling of Natural Phenomena 14:3, pages 313.
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Emile F. Doungmo Goufo, Abdon Atangana & Melusi Khumalo. 2019. Fractional Derivatives with Mittag-Leffler Kernel. Fractional Derivatives with Mittag-Leffler Kernel 117 134 .
Saif Ullah & Muhammad Altaf Khan. 2019. Fractional Derivatives with Mittag-Leffler Kernel. Fractional Derivatives with Mittag-Leffler Kernel 49 67 .
Muhammad Saqib, Ilyas Khan & Sharidan Shafie. 2019. Fractional Derivatives with Mittag-Leffler Kernel. Fractional Derivatives with Mittag-Leffler Kernel 253 268 .
Ali Akgül. 2019. Fractional Derivatives with Mittag-Leffler Kernel. Fractional Derivatives with Mittag-Leffler Kernel 1 12 .
N. Bouzid & M. Merad. (2017) Space-Time Fractional DKP Equation and Its Solution. Few-Body Systems 58:3.
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A. Coronel-Escamilla, J.F. Gómez-Aguilar, M.G. López-López, V.M. Alvarado-Martínez & G.V. Guerrero-Ramírez. (2016) Triple pendulum model involving fractional derivatives with different kernels. Chaos, Solitons & Fractals 91, pages 248-261.
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A. Coronel-Escamilla, J. F. Gómez-Aguilar, E. Alvarado-Méndez, G. V. Guerrero-Ramírez & R. F. Escobar-Jiménez. (2016) Fractional dynamics of charged particles in magnetic fields. International Journal of Modern Physics C 27:08, pages 1650084.
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JE Escalante-Martínez, JF Gómez-Aguilar, C Calderón-Ramón, LJ Morales-Mendoza, I Cruz-Orduña & JR Laguna-Camacho. (2016) Experimental evaluation of viscous damping coefficient in the fractional underdamped oscillator. Advances in Mechanical Engineering 8:4, pages 168781401664306.
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N. Bouzid, M. Merad & D. Baleanu. (2016) On Fractional Duffin–Kemmer–Petiau Equation. Few-Body Systems 57:4, pages 265-273.
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J. F. Gómez-Aguilar, J. E. Escalante-Martínez, C. Calderón-Ramón, L. J. Morales-Mendoza, M. Benavidez-Cruz & M. Gonzalez-Lee. (2016) Equivalent Circuits Applied in Electrochemical Impedance Spectroscopy and Fractional Derivatives with and without Singular Kernel. Advances in Mathematical Physics 2016, pages 1-15.
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José Gómez-Aguilar, Huitzilin Yépez-Martínez, Celia Calderón-Ramón, Ines Cruz-Orduña, Ricardo Escobar-Jiménez & Victor Olivares-Peregrino. (2015) Modeling of a Mass-Spring-Damper System by Fractional Derivatives with and without a Singular Kernel. Entropy 17:12, pages 6289-6303.
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