Open AccessA note on the qualitative behavior of some nonlinear local improper conformable differential equations
Author(s) -
Juan E. Nápoles Valdés,
Paulo Matias Guzmán,
Luciano M. Lugo Motta Bittencurt
Publication year - 2020
Publication title -
journal of fractional calculus and nonlinear systems
Language(s) - English
Resource type - Journals
ISSN - 2709-9547
DOI - 10.48185/jfcns.v1i1.48
Subject(s) - conformable matrix , nonlinear system , mathematics , differential (mechanical device) , mathematical analysis , derivative (finance) , qualitative analysis , differential equation , calculus (dental) , qualitative research , physics , sociology , economics , medicine , social science , dentistry , quantum mechanics , financial economics , thermodynamics
In this paper, we present two qualitative results concerning the solutions of nonlinear generalized differential equations, with a local derivative defined by the authors in previous works. The first result covers the boundedness of solutions while the second one discusses when all the solutions are in L$^{2}$.