Abstract. We consider the statistical properties of solutions stochastic fractional relaxation equation and its fractionally integrated extensions that are models for Earth's energy balance. In these equations, highest-order derivative term is fractional, it storage processes scaling over a wide range. When driven stochastically, system Langevin (FLE) has been considered in context random walks...

AlmtraEt--Dispersed phase systems may lx analyzed via population balances or by Monte Carlo simulation methods. This paper establishes the precise mathematical connection between the two procedures. The population balance equation is obtained by averaging the master density equation, while simulation procedures efficiently evaluate the solution to the master density equation by elimination of l...

the radiation power loss from a magnetically confined plasma in a stellarator has been calculated using neoclassical particle and energy fluxes in an energy balance equation. we could obtain a power loss of about 34% of the total input power by numerical calculation. this fraction of the power loss has been found to be in good agreement with the experimentally measured values of 30-40% for our ...

In this article, Adomian Method is applied for spatially inhomogeneous Population Balance Equation incorporating breakage and coalescence processes in both batch continuous flow systems. It should be Note that the analytical solutions obtained using technique are not available literature.