English

Solutions of Bernoulli equations in the fractional setting

Optimization and Control 2021-05-06 v1 Classical Analysis and ODEs

Abstract

We present a general series representation formula for the local solution of Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractional logistic equation and we present some related numerical simulations.

Keywords

Cite

@article{arxiv.2105.01979,
  title  = {Solutions of Bernoulli equations in the fractional setting},
  author = {Mirko D'Ovidio and Anna Chiara Lai and Paola Loreti},
  journal= {arXiv preprint arXiv:2105.01979},
  year   = {2021}
}