Entropy solution of fractional dynamic cloud computing system associated with finite boundary condition

Boundary value problems

Hamid A Jalab¹  Rabha W Ibrahim¹  Abdullah Gani¹ 

[1] Faculty of Computer Science and Information Technology, University Malaya, Kuala Lumpur, Malaysia

关键词: fractional calculus;    fractional dynamical system;    fractional entropy;    cloud computing;   

DOI  :  10.1186/s13661-016-0602-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Cloud computing is relevant for the applications transported as services over the hardware and for the Internet and systems software in the datacenters that deliver those services. The major problem for this state is computing the capacity and the amplitude of the dynamic system of these services. In this effort, we process an algorithm based on fractional differential stochastic equation (fractional Fokker-Planck equation (FFPE)) to find the fractional entropy solutions. Our tool is based on Mellin-Laplace transforms. Also, we suggest a fractional functional entropy formula by using the Tsallis entropy. Approximate outcomes are illustrated and discussed. The convergence of the method is investigated.

【 授权许可】

CC BY