Solving the Oscillation Equation With Fractional Order Damping Term Using a New Fourier Transform Method

  • OZLEM OZTURK MIZRAK KARABUK UNIVERSITY
Keywords: Fourier transform, oscillation equation, damping term, the CTIT transformation, fractional derivative

Abstract

We propose an adapted Fourier transform method that gives the solution of an oscillation equation with a fractional damping term in ordinary domain. After we mention a transformation of cosmic time to individual time (CTIT), we explain how it can reduce the problem from fractional form to ordinary form when it is used with Fourier transformation, via an example for 1 < alpha < 2; where alpha is the order of fractional derivative. Then, we give an application of the results.

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Published
2017-12-16