Taking a fractional ODE problem as an example. It has come to my attention that if the fractional order parameter is in the interval (0,1], many only presents results for alpha=0.9, 0.99. I saw this in many of the papers that l reviewed. There seems to be instability for lower value cases. Kindly give your opinions. Thank you
Usually, solutions of fractional differential equations are dependent continuously on fractional orders. This is the topic that I am studying. You can find some papers from our group on this topic. Many papers on this topic of our group have also been submitted, we hope that they will be introduced to the readers soon.
I should say it depends on your question. I used FC in my model and realize when alpha goes towards zero my model explains experimental data.
I think you are referring to prey-predators & SIR models. Again that would depend on the model, but using FC is not always a good idea in my opinion.
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