Some mathematical models analysis with M-derivative
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Abstract (EN)
In this study, the Malthusian mathematical model and the vertical fall problems are solved again by means of the Laplace transform of the M-derivative. The solutions obtained as a fractional order exponential function are compared with other fractional order solutions obtained in terms of Mittag-Leffler. With the given initial conditions, the Malthusian mathematical model and the vertical fall problems are analyzed at different fractional derivative orders. The numerical values obtained are evaluated visually on the graph. Mathematical analyses of the scientific results are made. Keywords: M-Derivative, Laplace Transform, Generalized Fractional Derivative, Malthusian Mathematical Model, The Vertical Motion of A Falling Body Problem
Author
Ali Selçuk
Institution
How to Cite
Ali Selçuk (Master Thesis). Some mathematical models analysis with M-derivative, 2024, Fırat University.
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