Prospects of Algebraization of Deformable Exponential Functions Through Ordinary Differential Equations And Partial Differential Equations

Deformable exponential functions are used for solving concrete real problems in a variety of research areas. A previous part of this research focused on the utility of analogical modeling for certain categories of nonlinear propagation processes, using deformable exponential functions. This paper however, describes the prospects of algebraization of these deformable exponentials by means of ordinary differential equations and also by means of partial differential equations. Thus, expressing the deformable exponential functions as solutions of some categories of the derivative equations previously mentioned, customized for different deformable coefficient's values.