Convergence of solutions of fractional differential equations to power-type functions
Classical Analysis and ODEs
2020-11-20 v1
Abstract
In this article we study the asymptotic behavior of solutions of some fractional differential equations. We prove convergence to power type functions under some assumptions on the nonlinearities. Our results extend and generalize some existing well-known results on solutions of ordinary differential equations. Appropriate estimations and lemmas such as a fractional version of L'Hopital's rule are used.
Keywords
Cite
@article{arxiv.2011.09562,
title = {Convergence of solutions of fractional differential equations to power-type functions},
author = {Mohammed Dahan Kassim and Nasser Eddine Tatar},
journal= {arXiv preprint arXiv:2011.09562},
year = {2020}
}
Comments
14 pages