Abstract
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.
Highlights
Fractional calculus has many applications, in mathematics, but in other sciences, engineering, economics, and social studies
We develop an algorithm based on the fractional differential stochastic equation (FFPE) to find the fractional entropy solutions
5 Conclusion We introduced a technique based on a class of fractional differential stochastic equations to discuss the fractional entropy solutions of fractional dynamical systems
Summary
Fractional calculus has many applications, in mathematics, but in other sciences, engineering, economics, and social studies. It covenants with differential and integral operators involving arbitrary powers; real and complex. The fractional calculus approximates the classical calculus, and it includes non-commutative derivatives, which appears to be fairly reliable on using non-commutative geometry. This development leads one to generalize the information theory of fractional order. There were practically no applied formulations of requirements in different areas. The developments in these areas continue [ – ]. As a result the subsequent formulation of a system is predisposed by its current formal feature, but consistently by all of its preceding ones
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