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Solving fuzzy non-homogeneous linear differential systems with piecewise constant arguments involving the short-memory variable-order Caputo fractional derivative

Author

Listed:
  • Phu, Nguyen Dinh
  • Phut, Lai Van
  • Van Hoa, Ngo

Abstract

We establish an explicit solution formula for a linear class of fractional differential systems with piecewise constant arguments (FDSs-PCA), incorporating generalized variable-order fractional derivatives (VO-FDs) of order in the interval (0,1). The effectiveness and practical relevance of our result are demonstrated through several illustrative examples.

Suggested Citation

  • Phu, Nguyen Dinh & Phut, Lai Van & Van Hoa, Ngo, 2026. "Solving fuzzy non-homogeneous linear differential systems with piecewise constant arguments involving the short-memory variable-order Caputo fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 510(C).
    • Handle: RePEc:eee:apmaco:v:510:y:2026:i:c:s0096300325003984
    DOI: 10.1016/j.amc.2025.129672
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    References listed on IDEAS

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    1. S. M. Shah & Joseph Wiener, 1983. "Advanced differential equations with piecewise constant argument deviations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 6, pages 1-33, January.
    2. Kuo‐Shou Chiu & Tongxing Li, 2019. "Oscillatory and periodic solutions of differential equations with piecewise constant generalized mixed arguments," Mathematische Nachrichten, Wiley Blackwell, vol. 292(10), pages 2153-2164, October.
    3. Duc, Tran Minh & Van Hoa, Ngo, 2021. "Stabilization of impulsive fractional-order dynamic systems involving the Caputo fractional derivative of variable-order via a linear feedback controller," Chaos, Solitons & Fractals, Elsevier, vol. 153(P2).
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