Abstract
Fractional calculus of non-integer order provides a powerful method in the modelling of physical system with spatial complexity and with complex time-dependent dynamics which results in memory and nonlocal effects. Some recent applications include the construction of fractional models to account for the surface roughness for electron emission <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">1, 2</sup> and light absorption <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">3</sup> , and spatial disorderness <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">4</sup> for charge transport. In this work, we intend to account for the memory and non-local effects of the collective oscillation of electrons in a plasma environment, namely a fractional model plasma oscillation is constructed. The effect of plasma frequency will be studied in terms of a fractional parameter.
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