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Fractional calculus helps us describing natural phenomena and mathematical models more accurately.
With the help of fractional calculus, we can describe natural phenomena and mathematical models more accurately.
Fractional differential equations have been of increasing importance for the past decades due to their diverse applications in science and engineering, we can describe natural phenomena and mathematical models more accurately.
Models are tools, but mathematical models, more than purely verbal models, facilitate comprehensiveness and precision in describing assumptions and their implications.
Biological complexity limits the applicability of reductionism framed with deterministic linear mathematical models, 8 which historically have dominated science as they are more computationally tractable and humanly comprehensible than stochastic nonlinear mathematical models more appropriate for describing and predicting biological systems behavior.
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This makes the mathematical model more complex although the problem becomes more realistic and practical.
Endeavoring to solve the mathematical model more efficiently, we propose an effective heuristic method using Genetic Algorithm (GA).
Since 2010, fractional q-difference equations have gained considerable popularity and importance due to the fact that they can describe the natural phenomena and the mathematical model more accurately.
The investment in such a refinement of the risk assessment, e.g., in the form of mathematical models or more complex experimental studies (aquatic mesocosms, and field studies) is usually worthwhile for the applicant company.
Mathematical models describing more complex population structures will be the topic of future investigations.
For example, for practical optimization of the global distribution of antiviral medicine, mathematical models are more likely to consider the role of individual regions or cities in the context of the global spread of disease.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com