Oscillation results for a nonlinear fractional differential equation Articles uri icon

publication date

  • March 2023

start page

  • 12486

end page

  • 12505

issue

  • 5

volume

  • 8

International Standard Serial Number (ISSN)

  • 2473-6988

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.

subjects

  • Mathematics

keywords

  • fractional derivatives and integrals; fractional differential equations; oscillatory differential equations