Comments (5)
We'll reconnect later. We don't have a good interface for this right now. Though in the near future we will be able to specify Fractional PDEs with MTK, mainly for solving with NeuralPDE.jl, and it would be nice to connect over to this library. There could be a lot of nice connections as well, specifically https://github.com/SciFracX/FractionalCalculus.jl would be nice to use in NeuralPDE for the semi-discretization loss in the fractional derivatives. Thanks for pointing me here and I assume it will grow nicely.
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Hello there!😄
As you can see, this package is just started and algorithms or ecosystems are not so well.
To be honest, I am a big fan of what Chris has done in DifferentialEquation.jl, and I am trying to follow the design pattern of OrdinaryDiffEq.jl. I think the integration would be very interesting and it would be very useful for users.
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Looking forward to connecting! Ping me anytime if there are questions about this library :)
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Btw, I wrote a note about A General Theory of Fractional Operations.
It would be great if, eventually, all relevant operations could be generalized to allow for their fractional counterparts...
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@azev77 Sounds very interesting! Fractional multiplication, fractional difference, btw I know the fractional difference equations are also being used widely.🤔
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Related Issues (20)
- Remove unused dependences HOT 1
- Complete the implementation of fractional difference equations solvers
- Fractional neutral differential equations
- Support for FODEFunction
- Use LinearSolve.jl for the FODEMatrixDiscrete methods HOT 2
- Package not running HOT 4
- Cannot `convert` an object of type HOT 2
- FODESystem not defiend HOT 1
- Benchmark problems by Prof Dingyu Xue
- Lyapunov exponents for non-commensurate fractional systems
- Feat: Neural Fractional Diffeq HOT 1
- BoundsError in FOChaos.jl HOT 11
- Allow passing parameters to commensurate lyapunov computing
- Solvers overhaul
- Example of FODE system witth Caputo derivatives and Mittag-Leffler function
- FDDESystem with multiple lags HOT 4
- FODEMatrixDiscrete algorithm not working with some functions HOT 1
- example folder issues HOT 2
- Lyapunov example won't run, incremental compile problem during package installation? HOT 2
- Example on system of fractional difference equations returned fractionalDiscreteSystem not defined HOT 2
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