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Fix links in examples.md
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RiboRings committed Oct 18, 2023
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2 changes: 1 addition & 1 deletion README.md
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## Method

We implement the [predictor-corrector](https://doi.org/10.1023/A:1016592219341) algorithms with a sufficient convergence and accuracy, including fast Fourier transform technique that gives us high computation speed. Interested readers can also find the [stability](https://doi.org/10.1080/00207160802624331) of the methods and see how to implement the methods for solving [multi-term](https://doi.org/10.1007/s00607-003-0033-3) fractional differential equations.
We implement the [predictor-corrector](https://doi.org/10.1023/A:1016592219341) algorithms with a sufficient [convergence and accuracy](https://doi.org/10.1023/B:NUMA.0000027736.85078.be), including fast Fourier transform technique that gives us high computation speed. Interested readers can also find the [stability](https://doi.org/10.1080/00207160802624331) of the methods and see how to implement the methods for solving [multi-term](https://doi.org/10.1007/s00607-003-0033-3) fractional differential equations.

Let us suppose the following initial value problem with the Caputo fractional derivative for $\beta>0$:

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4 changes: 2 additions & 2 deletions docs/src/examples.md
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using Plots, SpecialFunctions
```

## Example 1: [Fractional nonlinear equation]( https://link.springer.com/article/10.1023/B:NUMA.0000027736.85078.be)
## Example 1: [Fractional nonlinear equation](https://doi.org/10.1023/B:NUMA.0000027736.85078.be)

For `` 0<\beta\leq1 `` being subject to the initial condition `` y(0)=0 ``, the exact solution is:

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## Example 4: Dynamics of interaction of N species microbial communities

The impact of [ecological memory](https://www.biorxiv.org/content/10.1101/2021.09.01.458486v1.abstract) on the dynamics of interacting communities can be quantified by solving fractional form ODE systems.
The impact of [ecological memory](https://doi.org/10.1371/journal.pcbi.1009396) on the dynamics of interacting communities can be quantified by solving fractional form ODE systems.

```@example fde
tSpan = [0, 50]; # time span
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