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FRACTAL VARIATIONAL PRINCIPLES FOR TWO DIFFERENT TYPES OF FRACTAL PLASMA MODELS WITH VARIABLE COEFFICIENTS

Kang‐Le Wang, Hao Wang

2022Fractals16 citationsDOI

Abstract

In this paper, two different types of plasma models with variable coefficients are described by using the fractal derivative. This paper aims at establishing fractal variational principles for two different types of discontinuous plasma physics by the fractal semi-inverse method, so that it can be applied to numerical analysis of the effect of the discontinuous time and discontinuous space on the solution properties.

Topics & Concepts

FractalFractal derivativeVariable (mathematics)MathematicsInverseFractal analysisStatistical physicsPlasmaMathematical analysisApplied mathematicsFractal dimensionPhysicsGeometryQuantum mechanicsFractional Differential Equations SolutionsNonlinear Waves and SolitonsStatistical Mechanics and Entropy