Complex-valued fractional derivatives on time scales

We introduce a notion of fractional (noninteger order) derivative on an arbitrary nonempty closed subset of the real numbers (on a time scale). Main properties of the new operator are proved and several illustrative examples given.Comment: This is a preprint of a paper whose final and definite form will appear in Springer Proceedings in Mathematics & Statistics, ISSN: 2194-1009. Accepted for publication 06/Nov/201

Data clustering on breast cancer data using firefly algorithm with golden ratio method

Heuristic methods are problem solving methods. In general, they obtain near-optimal solutions, and they do not take the care of provability of this case. The heuristic methods do not guarantee to obtain the optimal results; however, they guarantee to obtain near-optimal solutions in considerable time. In this paper, an application was performed by using firefly algorithm - one of the heuristic methods. The golden ratio was applied to different steps of firefly algorithm and different parameters of firefly algorithm to develop a new algorithm - called Firefly Algorithm with Golden Ratio (FAGR). It was shown that the golden ratio made firefly algorithm be superior to the firefly algorithm without golden ratio. At this aim, the developed algorithm was applied to WBCD database (breast cancer database) to cluster data obtained from breast cancer patients. The highest obtained success rate among all executions is 96% and the highest obtained average success rate in all executions is 94.5%. © AECE

Ion exchange and corrosion behaviour of polyaniline coated mild steel electrode

The corrosion behaviour of mild steel and mild steel covered by the electrodeposited polyaniline films was investigated by electrochemical impedance spectroscopy. The electrodeposition of polyaniline coatings on mild steel was carried out by cyclic voltammetry using oxalic acid as the electrolyte. Protective properties of polyaniline coatings were investigated by monitoring the open-circuit potential and by applying electrochemical impedance spectroscopy. Nyquist plots explained as assuming underfilm oxidation at high frequency region and ion exchange process between polyaniline and electrolyte interface performed by oxygen reduction at low frequency region. Polyaniline layer provides corrosion protection due to having high ion exchange polarization resistance between the film and the electrolyte solution