Oscillation of impulsive conformable fractional differential equations

Jessada Tariboon; Sotiris K. Ntouyas

Open Mathematics, Tome 14 (2016), p. 497-508 / Harvested from The Polish Digital Mathematics Library

Résumé

In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the form tkDαpttkDαxt+rtxt+qtxt=0,t≥t0,t≠tk,xtk+=akx(tk−),tkDαxtk+=bktk−1Dαx(tk−),k=1,2,…. $\{\begin{matrix} t_{k} D^{α} (p (t) [t_{k} D^{α} x (t) + r (t) x (t)]) + q (t) x (t) = 0, t \geq t_{0}, t \neq t_{k}, \\ x (t_{k}^{+}) = a_{k} x (t_{k}^{-}), t_{k} D^{α} x (t_{k}^{+}) = b_{k t_{k - 1}} D^{α} x (t_{k}^{-}), k = 1, 2, ... . \end{matrix}$ Some new oscillation results are obtained by using the equivalence transformation and the associated Riccati techniques.

Publié le : 2016-01-01

Zbl 1350.34013

EUDML-ID : urn:eudml:doc:285658

@article{bwmeta1.element.doi-10_1515_math-2016-0044,
     author = {Jessada Tariboon and Sotiris K. Ntouyas},
     title = {Oscillation of impulsive conformable fractional differential equations},
     journal = {Open Mathematics},
     volume = {14},
     year = {2016},
     pages = {497-508},
     zbl = {1350.34013},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2016-0044}
}

Jessada Tariboon; Sotiris K. Ntouyas. Oscillation of impulsive conformable fractional differential equations. Open Mathematics, Tome 14 (2016) pp. 497-508. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2016-0044/