Ibrahim, Rabha Waell and Gani, Abdullah (2018) A Mathematical Model of Cloud Computing in the Economic Fractional Dynamic System. Iranian Journal of Science and Technology, Transactions A: Science, 42 (1). pp. 65-72. ISSN 1028-6276, DOI https://doi.org/10.1007/s40995-018-0494-z.
Full text not available from this repository.Abstract
Computing is experiencing much change from client/server to the cloud. The interest for cloud infrastructures is not only introducing in the business domain, but likewise encompasses to government activities. In this work, we suggest a new dynamic system, equilibrium of cloud computing based on fractional calculus. In our preparation, each agent (i.e., each company or government agency) determines between going to appliance the customary on-site computing pattern and acting to the cloud computing model. In this model, separately agent will optimize an entire cost that involves of two mechanisms: the cost of implementing the cloud computing pattern and the effort cost of moving to the cloud computing pattern. We shall impose various types of two-dimensional fractional systems. The method of finding the solution is subjected to bifurcation and bifurcation boundaries to perform a good result in the cloud computing. This method is generalized to the fractional calculus. Therefore, the outcome lets us to training the dynamic evolution of the density of cloud computing.
| Item Type: | Article |
|---|---|
| Funders: | Malaysian Ministry of Higher Education under the University Malaya High Impact Research Grant with reference UM.C/625/1/HIR/MOE/ FCSIT/03 |
| Uncontrolled Keywords: | Cloud computing; Fractional calculus; Fractional dynamic system |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Computer Science & Information Technology |
| Depositing User: | Ms. Juhaida Abd Rahim |
| Date Deposited: | 06 Aug 2019 06:46 |
| Last Modified: | 06 Aug 2019 06:46 |
| URI: | http://eprints.um.edu.my/id/eprint/21830 |
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