From a generalised Helmholtz decomposition theorem to fractional Maxwell equations
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Publication:907666
DOI10.1016/j.cnsns.2014.09.004zbMath1329.78042OpenAlexW1985322531MaRDI QIDQ907666
Manuel D. Ortigueira, Juan J. Trujillo, Margarita Rivero
Publication date: 26 January 2016
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2014.09.004
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Cites Work
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- Fractional resonance-based \(RL_{\beta}C_{\alpha}\) filters
- On the fractional signals and systems
- Fractional calculus for scientists and engineers.
- Gauge invariance in fractional field theories
- Wave propagation in nonlocal elastic continua modelled by a fractional calculus approach
- Development of fractional order capacitors based on electrolyte processes
- Fractional electromagnetic equations using fractional forms
- Riesz potential operators and inverses via fractional centred derivatives
- Fractional vector calculus and fractional Maxwell's equations
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- A coherent approach to non-integer order derivatives
- Modifying Maxwell's equations for dielectric materials based on techniques from viscoelasticity and concepts from fractional calculus
- On the fractional Newton and wave equation in one space dimension
- Lagrangean and Hamiltonian fractional sequential mechanics.
- A fractional model of continuum mechanics
- A unified approach to fractional derivatives
- Geometry of fractional spaces
- REVIEW OF SOME PROMISING FRACTIONAL PHYSICAL MODELS
- And I say to myself: “What a fractional world!”
- Maxwell's equations and electromagnetic Lagrangian density in fractional form
- Fractional Central Differences and Derivatives
- Fractional Electrical Impedances in Botanical Elements
- Fractional Calculus, Anomalous Diffusion, and Probability
- THE INCREMENTAL RATIO BASED CAUSAL FRACTIONAL CALCULUS
- Fractional generalization of gradient and Hamiltonian systems
