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Sales Teodoro, G., Tenreiro Machado, J.A. and Capelas de Oliveira, E. (2019) A Review of Definitions of Fractional Derivatives and Other Operators. Journal of Computational Physics, 388, 195-208.
https://doi.org/10.1016/j.jcp.2019.03.008

has been cited by the following article:

• TITLE: The Oscillation of a Class of Fractional Impulsive Partial Differential Equations

  AUTHORS: Li Fan, Anping Liu

  KEYWORDS: Fractional Partial Differential Equation, Oscillation, Impulse, Conformable Fractional Calculus

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.13 No.9, September 26, 2025

  ABSTRACT: In this paper, we study the forced oscillation properties of a class of fractional impulsive delay partial differential equations under the conformable fractional calculus definition with Neumann and Dirichlet boundary conditions. Using the properties of fractional calculus and integral mean value method, we obtain some new oscillation criteria for the fractional partial differential equations, which are the generalization of some classical results involving partial differential equations. One example is given to show the application of our main results.