Publication: Oscillation results for a nonlinear fractional differential equation
Date
2023
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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.
Description
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