Problem Types

The general fractional differential equations problem type:

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.SingleTermFODEProblemType
SingleTermFODEProblem(f, α, u0, tspan)

Define a single term fractional ordinary differential equation, there are only one fractional differential operator in this problem.

source
FractionalDiffEq.MultiTermsFODEProblemType
MultiTermsFODEProblem(parameters, orders, rightfun, u0, T)

MultiTermsFODEProblem(parameters, orders, rightfun, rparameters, rorders, u0, T)

Define a multi-terms fractional ordinary differential equation.

source

FFODE Problem

Missing docstring.

Missing docstring for FractionalDiffEq.FFODEProblem. Check Documenter's build log for details.

FPDE Problem

FDDE Problem

FractionalDiffEq.FDDEMatrixProblemType
FDDEMatrixProblem(α, τ, A, B, f, x0, tspan)

Construct a fractional matrix differential equation with delay with general form:

\[D_{t_0}^\alpha\textbf{x}(t)=\textbf{A}(t)\textbf{x}(t)+\textbf{B}(t)\textbf{x}(t-\tau)+\textbf{f}(t)\]

source

DODE Problem

Fractional Difference Problem

FIE Problem

Missing docstring.

Missing docstring for FractionalDiffEq.FIEProblem. Check Documenter's build log for details.