Solutions of linear systems of moment differential equations via generalized matrix exponentials
Classical Analysis and ODEs
2023-05-08 v1 Complex Variables
Abstract
A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical exponential matrix and fractional exponential matrix. This object serves as a practical tool to express the solutions of linear systems of moment differential equations in a compact manner, in the spirit of the classical exponential matrix.
Keywords
Cite
@article{arxiv.2305.03147,
title = {Solutions of linear systems of moment differential equations via generalized matrix exponentials},
author = {Alberto Lastra and Cruz Prisuelos-Arribas},
journal= {arXiv preprint arXiv:2305.03147},
year = {2023}
}