A note on the qualitative behavior of some nonlinear local improper conformable differential equations | Zendy

Juan E. Nápoles Valdés | Zendy; Paulo Matias Guzmán | Zendy; Luciano M. Lugo Motta Bittencurt | Zendy

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A 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$^{2}$.

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