Table 2 presents comprehensive models for five distinct formulations that incorporate existing model structures as well as their extensions. The *n*th- and limited *n*th-order models can be further generalized with an assumption that the parameters *n* and *k* are adjustable. The restriction of existing approaches of *n* as an integer is largely relaxed by defining *n* instead as a real number in the generic formulations. Further generalization of the *n*th and limited *n*th models can be made as the condition of two reactants is introduced; depending upon the scope of implementation of *n* as a real number into different decay processes, structures of a combined ‘1 + 1’ model, a combined ‘1 + *n*’ model, and a combined ‘*n* + *n*’ model can be developed (see Table 2).

Table 2

Title . | Governing equation . | Parameters . |
---|---|---|

nth | ||

Limited nth | ||

Combined ‘1 + 1’ | ||

Combined ‘1 + n’ | ||

Combined ‘n + n’ |

Title . | Governing equation . | Parameters . |
---|---|---|

nth | ||

Limited nth | ||

Combined ‘1 + 1’ | ||

Combined ‘1 + n’ | ||

Combined ‘n + n’ |

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