Both and serve as very general mathematical models of numerous applications arising in economics, engineering, transportation, and so forth.
The population balance equation provides a well established mathematical framework for dynamic modeling of numerous particulate processes.
General features of the model include a generic kinetic framework that permits modeling of numerous polymeric systems and the ability to readily configure multistage systems.
During the past two decades, fractional differential equations have been proved to be one of the most effective tools in the modeling of numerous fields of science, physics, engineering and so on.
The prediction of MOVPE processes requires the modelling of numerous coupled transport phenomena for momentum, mass and heat including temperature dependent physical properties and chemical reactions.
Since mathematical modeling of numerous scientific and engineering experiments lead to Brusselator and Burgers' system of equations, it is worth trying new methods to solve these systems.
The fractional derivatives play important roles in the field of mathematical modeling of numerous models such as fractional model of regularized long-wave equation [51], Lienard's equation [52], fractional model of convective radial fins [53], modified Kawahara equation [54], etc.
Wavelet analysis and bipartition modeling of numerous sequenced bacterial strains showed a strong tendency towards balanced replichores [28], [29], and it has also been suggested that imbalanced replication is detrimental to fitness and strains with this defect are selected against and lost from the population [22], [26], [30].
Curcumin exhibits curative effects also in animal models of numerous other neurological diseases.
Simultaneous modeling of numerous PEP and NEP bindings and movements allows to interpret the published quantitative experimental evidence.
