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Oscillation results for a nonlinear fractional differential equation

Paul Bosch, José M. Rodríguez, José M. Sigarreta

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Source: Crossref

Published: Jan 1, 2023

DOI: 10.3934/math.2023627

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Source abstract

<abstract><p>In this paper, the authors work with a general formulation of the fractional derivative of Caputo type. They study oscillatory solutions of differential equations involving these general fractional derivatives. In particular, they extend the Kamenev-type oscillation criterion given by Baleanu et al. in 2015. In addition, we prove results on the existence and uniqueness of solutions for many of the equations considered. Also, they complete their study with some examples.</p></abstract>

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