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Generalized Deformable Fractional Derivative via the Mittag-Leffler Function: Fundamental Properties, Integral Representation, and Applications

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By Hamza Daoudi, Abderrahmane Belguerna, Abdeldjabar Bourega, Mohammed Bassoudi
| Preprints.org
Submitted: 20 October 2025 You are already at the latest version In this paper, we propose a new generalized form of the deformable fractional derivative constructed via the Mittag–Leffler function. The proposed operator extends both classical and existing fractional differentiation frameworks by introducing a flexible deformation parameter associated with the Mittag–Leffler kernel.
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