Problem Types
The general fractional differential equations problem type:
Missing docstring for FractionalDiffEq.FDEProblem
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FODE Problem
Fractional ordinary problems type, we can classified them as Single-Term and Multi-Term problems:
\[D^{\alpha}y(t)=f(t, y)\]
\[\sum_{s=0}^pc_sD^{\beta_s}y=f\]
Missing docstring for FractionalDiffEq.SingleTermFODEProblem
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Missing docstring for FractionalDiffEq.MultiTermsFODEProblem
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FractionalDiffEq.FODESystem
— TypeFODESystem(f, α, u0, tspan, p)
Define system of fractional differential equations.
FFODE Problem
FractionalDiffEq.FFPODEProblem
— TypeFFPODEProblem(f, α, u0, tspan, p)
Define fractal-fractional differential equations problems with power law kernel.
FractionalDiffEq.FFEODEProblem
— TypeFFEODEProblem(f, α, u0, tspan, p)
Define fractal-fractional differential equations problems with expoenntial decay kernel.
FractionalDiffEq.FFMODEProblem
— TypeFFMODEProblem(f, α, u0, tspan, p)
Define fractal-fractional differential equations problems with Mittag Leffler kernel.
FPDE Problem
Missing docstring for FractionalDiffEq.FPDEProblem
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FDDE Problem
FractionalDiffEq.FDDEProblem
— TypeFDDEProblem(f, ϕ, α, τ, tspan)
f
: The function describing fractional delay differential equations.ϕ
: History function
Construct a fractional delayed differential equation problem.
FractionalDiffEq.FDDEMatrixProblem
— TypeFDDEMatrixProblem(α, τ, A, B, f, x0, tspan)
Construct a fractional matrix differential equation with delay with general form:
\[D_{t_0}^\alpha\textbf{x}(t)=\textbf{A}(t)\textbf{x}(t)+\textbf{B}(t)\textbf{x}(t-\tau)+\textbf{f}(t)\]
FractionalDiffEq.FDDESystem
— TypeFDDESystem(f, ϕ, α, τ, T)
Construct system of fractional delay differential equations problem.
DODE Problem
FractionalDiffEq.DODEProblem
— TypeDODEProblem(parameters, orders, interval, tspan, rightfun)
Define distributed order differential equation problem.
Fractional Difference Problem
Missing docstring for FractionalDiffEq.FractionalDifferenceProblem
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Missing docstring for FractionalDiffEq.FractionalDifferenceSystem
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FIE Problem
Missing docstring for FractionalDiffEq.FIEProblem
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