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Antibacterial substances which could be included in the formulations of oral hygiene products and would not exert side effects are still being researched.
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The Caputo fractional derivative is considered here because it allows traditional initial and boundary conditions to be included in the formulation of the problem.
We have chosen the Caputo fractional derivative because it allows traditional initial and boundary conditions to be included in the formulation of the problem.
The Caputo fractional derivative is used here because it allows traditional initial and boundary conditions to be included in the formulation of the problem.
We use the Caputo fractional derivative because it allows traditional initial and boundary conditions to be included in the formulation of our work.
Using the mapping concept, the frequency characteristics such as the resonance frequency and bandwidth can be directly included in the formulation of the design objective function.
Different weight contents of mechanically recycled GFRP wastes with two particle size grades are included in the formulation of new materials.
These factors are all included in the formulation of a model that yields a multi-period spatially-explicit schedule for treatment planning.
In what follows, Caputo derivatives are considered, taking the advantage that this allows for traditional initial and boundary conditions to be included in the formulation of the considered problem.
It should be mentioned here that the Caputo fractional derivative is used because it allows traditional initial and boundary conditions to be included in the formulation of the problem.
(i) The sustained flapping of the filament only occurs when filament mass is included in the formulation of the model; within a certain range of mass, the more the mass of the filament, the bigger the amplitude of the flapping.
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