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Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

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

Journal of Mathematics, 2021, vol. 2021, 1-12

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.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6642192

DOI: 10.1155/2021/6642192

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