A Mathematical Model of Cloud Computing in the Economic Fractional Dynamic System

作者：Ibrahim Rabha W^*; Gani Abdullah

来源：Iranian Journal of Science and Technology Transaction A-Science, 2018, 42(A1): 65-72.

DOI：10.1007/s40995-018-0494-z

• Fractional calculus
• Cloud computing
• Fractional dynamic system

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.

• 出版日期2018-3