Problem Types
The general fractional differential equations problem type:
FractionalDiffEq.FDEProblem — TypeFDEProblemGeneral type for all kinds of problems in FractionalDiffEq.jl.
FODE Problem
Fractional ordinary problems type, we can classified them as Single-Term and Multi-Term problems:
\[D^{\alpha}y(t)=f(t, y)\]
\[\sum_{s=0}^pc_sD^{\beta_s}y=f\]
FractionalDiffEq.SingleTermFODEProblem — TypeSingleTermFODEProblem(f, α, u0, tspan)Define a single term fractional ordinary differential equation, there are only one fractional differential operator in this problem.
FractionalDiffEq.MultiTermsFODEProblem — TypeMultiTermsFODEProblem(parameters, orders, rightfun, u0, T)
MultiTermsFODEProblem(parameters, orders, rightfun, rparameters, rorders, u0, T)Define a multi-terms fractional ordinary differential equation.
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. Check Documenter's build log for details.
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. Check Documenter's build log for details.
Missing docstring for FractionalDiffEq.FractionalDifferenceSystem. Check Documenter's build log for details.
FIE Problem
Missing docstring for FractionalDiffEq.FIEProblem. Check Documenter's build log for details.