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New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type

Author

Listed:
  • Amira Abdelnebi

    (Laboratory LPAM, UMAB, University of Mostaganem, Mostaganem 27000, Algeria)

  • Zoubir Dahmani

    (Laboratory LPAM, UMAB, University of Mostaganem, Mostaganem 27000, Algeria)

Abstract

The subject of this paper is the existence, uniqueness and stability of solutions for a new sequential Van der Pol–Duffing (VdPD) jerk fractional differential oscillator with Caputo–Hadamard derivatives. The arguments are based upon the Banach contraction principle, Krasnoselskii fixed-point theorem and Ulam–Hyers stabilities. As applications, one illustrative example is included to show the applicability of our results.

Suggested Citation

  • Amira Abdelnebi & Zoubir Dahmani, 2022. "New Van der Pol–Duffing Jerk Fractional Differential Oscillator of Sequential Type," Mathematics, MDPI, vol. 10(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3546-:d:928432
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    References listed on IDEAS

    as
    1. Bezziou, Mohamed & Jebril, Iqbal & Dahmani, Zoubir, 2021. "A new nonlinear duffing system with sequential fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
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