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Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

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  • S. Manikandan
  • V. Muthulakshmi
  • S. Harikrishnan
  • Porpattama Hammachukiattikul
  • Xian-Ming Gu

Abstract

In this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati transformation, some properties of conformable time-scale fractional calculus, and certain mathematical inequalities. Also, we extend the study of oscillation to conformable fractional Euler-type dynamic equation. Examples are presented to emphasize the validity of the main theorems\enleadertwodots.

Suggested Citation

  • S. Manikandan & V. Muthulakshmi & S. Harikrishnan & Porpattama Hammachukiattikul & Xian-Ming Gu, 2021. "Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term," Journal of Mathematics, Hindawi, vol. 2021, pages 1-12, August.
    • Handle: RePEc:hin:jjmath:6642192
    DOI: 10.1155/2021/6642192
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