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- Title
FRACTIONAL ORDER CLIMATE CHANGE MODEL IN A PACIFIC OCEAN.
- Authors
EZE, S. C.; OYESANYA, M. O.
- Abstract
In this work, the fractional order climate change model in a Pacific Ocean is given. The model distinguishes between when damped constant a = 0 and when a 6= 0 (a > 0 and a < 0), and the solution of each case was obtained using Lindstendt-Poincare perturbation technique. The analyses of the solutions were done using MATLAB R2007b. In integer case, we observed that for damped constant a = 0, the oscillations become regular and tend to infinity. For a < 0, the amplitude increases and creates deep thermocline, which will over flow the sea and could lead to flooding. For a > 0, the oscillations gradually decay in amplitude toward zero. In fractional order case, we observed a clear increase and decrease in the depth of thermocline when a < 0 and when a > 0 respectively, showing a better result for studying climate change in a Pacific Ocean.
- Subjects
FRACTIONAL calculus; MATHEMATICAL constants; THERMOCLINES (Oceanography); OSCILLATIONS; CLIMATE change; PERTURBATION theory
- Publication
Journal of Fractional Calculus & Applications, 2019, Vol 10, Issue 1, p10
- ISSN
2090-584X
- Publication type
Article