Khadija Elhakimy, Ismail Sadouki, Ali El Mfadel, Said Melliani
Abstract:
This work is devoted to the analysis of fuzzy fractional delay differential equations
(FDDEs) governed by the generalized Caputo fractional derivative (GCFD).
By combining stepwise approximation methods with suitable Gronwall-type inequalities,
we establish the existence and uniqueness of solutions. Furthermore, we
derive explicit criteria that guarantee the finite-time stability.
The theoretical contributions are illustrated with numerical simulations,
confirm the analytical findings and demonstrate the effectiveness
of the proposed framework in capturing the dynamical behavior of fuzzy fractional
delay models.
Submitted September 15, 2025. Published January 19, 2026.
Math Subject Classifications: 26A33, 37C75, 34A08, 93D40.
Key Words: Fuzzy fractional differential equations; Riemann-Liouville derivative;
generalized Caputo fractional derivative; finite-time stability.
DOI: 10.58997/ejde.2026.07
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| Khadija Elhakimy Sultan Moulay Slimane University Laboratory of Applied Mathematics and Scientific Computing Beni Mellal, Morocco email: elhakimy.khadija@usms.ac.ma |
| Ismail Sadouki Sultan Moulay Slimane University Laboratory of Applied Mathematics and Scientific Computing Beni Mellal, Morocco email: ismail.sadouki@usms.ma |
| Ali El Mfadel Sultan Moulay Slimane University Laboratory of Applied Mathematics and Scientific Computing Beni Mellal, Morocco email: a.elmfadel@usms.ma |
| Said Melliani Sultan Moulay Slimane University Laboratory of Applied Mathematics and Scientific Computing Beni Mellal, Morocco email: s.melliani@usms.ma |
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