Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel

DOI10.3934/dcdss.2020172zbMath1475.34005OpenAlexW2993625618MaRDI QIDQ2056511

Krunal B. Kachhia, Abdon Atangana

Publication date: 8 December 2021

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2020172

zbMATH Keywords

Laplace transformMittag-Leffler functionwave propagationfractional operatorsdielectric mediaAtangana-Koca fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Electromagnetic theory (general) (78A25) Fractional ordinary differential equations (34A08) Modeling and interdisciplinarity (aspects of mathematics education) (97M10)

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Cites Work

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• Chua's circuit model with Atangana-Baleanu derivative with fractional order
• On the notion of fractional derivative and applications to the hysteresis phenomena
• Couette flows of a viscous fluid with slip effects and non-integer order derivative without singular kernel
• A novel approach of variable order derivative Theory and Methods
• Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation

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