By using the sub-equation method, we construct the analytical solutions of the space-time
generalized nonlinear Schrödinger equation involving the beta-derivative. This equation …

The work aims to present a semi-analytical approach based on the homotopy analysis
method for finding closed-form solutions and approximate solutions to aggregation and …

While there are plenty of experimental studies pertaining to the dust generation from and
dustiness of powders, few of them aim at reaching a theoretical understanding of the …

Population balance models mathematically describe the particle size distribution based on
modeling physical phenomena that influence the distribution, such as aggregation, growth …

This paper develops a new simulation model for crystal size distribution dynamics in
industrial batch crystallization. The work is motivated by the necessity of accurate prediction …

Population balance equations are essential to scientists and engineers of widely varying
discipline, applications have covered a wide range of processes involving bioreactors …

Homotopy techniques in nonlinear problems are getting increasingly popular in engineering
practice. The main reason is because the homotopy method deforms continuously a difficult …

A modified equation of Burgers type with a quadratically cubic (QC) nonlinear term was
recently pointed out as a new exactly solvable model of mathematical physics. However, its …

The local conformable beta Atangana derivative will be considered for the introduction of the
fractional Gross–Pitaevskii model with conformable derivatives of beta type. Analytical …

Population balance equations may be employed to handle a wide variety of particle
processes has certainly received unprecedented attention, but the absence of explicit exact …