Publication:
Oscillation results for a nonlinear fractional differential equation

Date

2023

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Research Projects

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Abstract

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.

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Keywords

Fractional derivatives and integrals, Fractional differential equations, Oscillatory differential equations

Citation

Paul Bosch, José M. Rodríguez, José M. Sigarreta. Oscillation results for a nonlinear fractional differential equation[J]. AIMS Mathematics, 2023, 8(5): 12486-12505