# 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.MultiTermsFODEProblemType
MultiTermsFODEProblem(parameters, orders, rightfun, u0, T)

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

Define a multi-terms fractional ordinary differential equation.

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### FFODE Problem

Missing docstring.

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

## FDDE Problem

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

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

$$$D_{t_0}^\alpha\textbf{x}(t)=\textbf{A}(t)\textbf{x}(t)+\textbf{B}(t)\textbf{x}(t-\tau)+\textbf{f}(t)$$$
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## Fractional Difference Problem

FractionalDiffEq.FractionalDifferenceSystemType
FractionalDifferenceSystem(f, α, u0)

Define Fractional Difference System with the general constructure:

$$${^G\nabla_k^\alpha x(k+1)}=f(x(k))$$$

With given initial condition $x(i)$.

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## FIE Problem

Missing docstring.

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