Solving the Oscillation Equation With Fractional Order Damping Term Using a New Fourier Transform Method
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 5
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.
Authors and Affiliations
OZLEM OZTURK MIZRAK
Keywords
Related Articles
- EP ID EP651774
- DOI 10.24297/jam.v13i5.6483
- Views 187
- Downloads 0
Martingales via statistical convergence
In this paper martingales of statistical Bochner integrable functions with values in a Banach space are treated. In particular we have arrived some results for martingales and backwards martingales.
(1,2) - Domination in the Total Graphs of Cn , Pn and K1,n
In this paper, we discuss the (1,2) - domination in the total graphs of Cn , Pnand K1,n
THE EIGEN-COMPLETE DIFFERENCE RATIO OF CLASSES OF GRAPHS- DOMINATION, ASYMPTOTES AND AREA
The energy of a graph is related to the sum of π -electron energy in a molecule represented by a molecular graph, and originated by the HMO (Hückel molecular orbital) theory. Advances to th...
Analysis of an accident situation at intersection caused by the lack of respect for priority
This article focus on the resulting of mathematical simulation of system man-vehicle-surrounding in accident reconstrucion. We will examine an accident situation in its three stages when two vehicles and two pedestr...
Stability of Cubic Functional Equation in Random Normed Space
In this paper, we present the Hyers-Ulam stability of Cubic functional equation. where n is greater than or equal to 4, in Random Normed Space.