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

Nguyen Dinh Phu, Lai Van Phut and Ngo Van Hoa

Applied Mathematics and Computation, 2026, vol. 510, issue C

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.

Keywords: Fuzzy fractional differential system; Piecewise constant argument; Variation of constant formula; Generalized variable-order fractional derivative (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:510:y:2026:i:c:s0096300325003984

DOI: 10.1016/j.amc.2025.129672

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