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Search results for: Fractional generalization

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Search results for: Fractional generalization

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Search results for: Fractional generalization

  • About the Noether’s theorem for fractional Lagrangian systems and a generalization of the classical Jost method of proof

    Recently, the fractional Noether's theorem derived by G. Frederico and D.F.M. Torres in [10] was proved to be wrong by R.A.C. Ferreira and A.B. Malinowska in (see [7]) using a counterexample and doubts are stated about the validity of other Noether's type Theorem, in particular ([9],Theorem 32). However, the counterexample does not explain why and where the proof given in [10] does not work. In this paper, we make a detailed analysis...

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  • Dataset of phase portraits of the fractional prey-predator model with Holling type-II interaction (without predator harvesting)

    Open Research Data

    The need for a fractional generalization of a given classical model is often due to new behaviors which cannot be taken into account by the model. In this situation, it can be useful to look for a fractional deformation of the initial system, trying to fit the fractional exponent of differentiation in order to catch properly the data.

  • On Applications of Elements Modelled by Fractional Derivatives in Circuit Theory

    Publication

    - ENERGIES - Year 2020

    In this paper, concepts of fractional-order (FO) derivatives are reviewed and discussed with regard to element models applied in the circuit theory. The properties of FO derivatives required for the circuit-level modeling are formulated. Potential problems related to the generalization of transmission-line equations with the use of FO derivatives are presented. It is demonstrated that some formulations of FO derivatives have limited...

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  • On Applications of Fractional Derivatives in Electromagnetic Theory

    Publication

    - Year 2020

    In this paper, concepts of fractional-order (FO) derivatives are analysed from the point of view of applications in the electromagnetic theory. The mathematical problems related to the FO generalization of Maxwell's equations are investigated. The most popular formulations of the fractional derivatives, i.e., Riemann-Liouville, Caputo, Grünwald-Letnikov and Marchaud definitions, are considered. Properties of these derivatives are...

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  • On Applications of Fractional Derivatives in Circuit Theory

    Publication

    - Year 2020

    In this paper, concepts of fractional-order (FO) derivatives are discussed from the point of view of applications in the circuit theory. The properties of FO derivatives required for the circuit-level modelling are formulated. Potential problems related to the generalization of transmission line equations with the use of FO derivatives are presented. It is demonstrated that some of formulations of the FO derivatives have limited...

    Full text to download in external service