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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 69 Issue: 1

Interval oscillation criteria for impulsive conformable fractional differential equations

Thangaraj Raja0000-0002-1829-1729
Yasar Bolat0000-0002-7978-1078
Kandhasamy Logaarası(Periyar University)0000-0002-6154-746X
Vadivel Sadhasivam0000-0001-5333-0001
Pages
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Publication Date
2020-06-30
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Examples are also given to illustrate the relevance of the result.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we derive new interval oscillation criteria for impulsive conformable fractional differential equations having fixed moments of impulse actions.
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Key Findings & Data:The results are extended to a more general class of nonlinear impulsive conformable fractional differential equations.
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Conclusion & Impact:Examples are also given to illustrate the relevance of the result.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Oscillation · impulse · conformable fractional differential equations

Abstract

In this paper, we derive new interval oscillation criteria for impulsive conformable fractional differential equations having fixed moments of impulse actions. The results are extended to a more general class of nonlinear impulsive conformable fractional differential equations. Examples are also given to illustrate the relevance of the result.

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Cite This Article

Raja, T., Bolat, Y., Logaarası, K., Sadhasivam, V. (2020). Interval oscillation criteria for impulsive conformable fractional differential equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 69 Issue: 1. https://doi.org/10.31801/cfsuasmas.438566

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References (19)

  1. Bainov, D.D., Simenov, P.S., Impulsive Differential Equations: Periodic Solutions and Applications, Longman, Harlow, 1993.
  2. Chen, D.X., Oscillation criteria of fractional differential equations, Adv. Diff. Equ., 2012 (2012), 1-10. Chen, D., Qu, P., Lan, Y., Forced oscillation of certain fractional differential equations, Adv. Difference Equ., 2013 (2013),
  3. Fend, Q., Meng, F., Oscillation of solutions to nonlinear forced fractional differential equations, Electron. J. Differential Equations, 169 (2013), 1-10.
  4. Grace, S.R., Agarwal, R.P., Wong, P.J.Y., Zafer, A., On the oscillation of fractional differential equations, Frac. Calc. Appl. Anal., 15 (2012), 222-231.
  5. Han, Z., Zhao, Y., Sun, Y., Zhang, C., Oscillation for a class of fractional differential equation, Discrete Dyn. Nat. Soc., (2013), 1-6. Huang, M., Feng, W.Z., Oscillation of second order impulsive delay differential equations with forcing term, J. Natural Science of Heilongjiang University, 23 (2006), 452-456 (in Chinese).
  6. Kalaimani, T., Raja, T., Sadhasivam, V., Saker, S.H., Oscillation of Impulsive Neutral Partial Differential Equations with Distributed Deviating Arguments, Bul. Math. Soc. Sci. Math. Roumanie Tome, 61(109), (2018), 51-68.
  7. Khalil, R.R., Horani, M. Al., Yousef, A., Sababheh, M., A new definition of fractional derivative, J. Comupt. Appl. Math., 264 (2014), 65-70. Kilbas, A.A., Srivastava, H. M., Trujillo, J.J., Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006.
  8. Kong, Q., Interval criteria for oscillation of second-order linear differential equation, J. Math. Anal. Appl., 229 (1999), 483-492.
  9. Lakshmikantham, V., Bainov, D.D., Simeonov, P.S., Theory of Impulsive Differential Equations, World Scientific Publishers, Singapore, 1989.
  10. Li, Q.L., Cheung, W.S., Interval oscillation criteria for second-order forced delay differential equations under impulsive effects, Electron. J. Qual. Theor. Diff. Eq., 2013(43) (2013), 1-11.
  11. Liu, T., Zheng, B., Meng, F., Oscillation on a class of differential equations of fractional order, Math. Probl. Eng., (2013), 1-13.
  12. Muthulakshmi, V., Thandapani, E., Interval criteria for oscillation of second-order impulsive differential equation with mixed nonlinearities, Electron. J. Differ. Eq., 2011(40) (2011), 1-14.
  13. Özbekler, A., Zafer A., Oscillation of solutions of second order mixed nonlinear differential equations under impulsive perturbations, Comput. Math. Appl., 61 (2011), 933-940.
  14. Philos, Ch.G., Oscillation theorems for linear differential equations of second order, Arch. Math., 53 (1989), 482-492.
  15. Podlubny, I., Fractional Differential Equations, Academic Press, San Diego, 1999.
  16. Sadhasivam, V., Logaarasi, K., Raja, T., Interval oscillation criteria for impulsive partial differential equations, Int. J. Math. and Appl., 6(1-B) (2018), 229-242. Sadhasivam, V., Raja, T., Logaarasi, K., On the interval oscillation of impulsive partial differential equations with damping term, Int. J. Engg. Sci. Math., 6 (2017), 328-340. Thandapani, E., Manju, E., Pinelas, S., Interval oscillation criteria for second order forced impulsive delay differential equations with damping term, Springer Plus, 5 (2016), 1-16.
  17. Wang, Y.Z., Han, Z.L., Zhao, P., Sun, S.R., On the oscillation and asymptotic behavior for a kind of fractional differential equations, Adv. Difference Equ., 2014 (2014).
  18. Xiaoliang, Z., Zhonghai, G., Wu-Sheng, W., Interval oscillation criteria for super-half-linear impulsive differential equations with delay, J. Appl. Math., (2012a).
  19. Yang, J., Liu, A., Liu, T., Forced oscillation of nonlinear fractional differential equations with damping term, Adv. Diff. Equ., 2015 (2015), 1-7. Zhang, C., Feng, W.Z., Yang, J., Huang, M., Oscillation of second order impulsive nonlinear FDE with forcing term, Appl. Math. Comput., 198 (2008), 271-279.