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The study aims to analyze the well-posedness and stability of coupled deformable fractional differential systems.

April 3, 2026Fractal and FractionalOpen Access

Well-Posedness and Ulam-Hyers Stability of Coupled Deformable Fractional Differential Systems via Perov and Leray-Schauder Approaches

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The study aims to analyze the well-posedness and stability of coupled deformable fractional differential systems.
Investigated coupled systems of deformable fractional differential equations
Applied Perov’s fixed-point theorem for solution existence
Utilized Leray-Schauder alternative for broader growth conditions
Analyzed continuous dependence of solutions on initial data
Established existence and uniqueness of solutions under matrix contractive conditions
Proved continuous dependence on initial conditions for well-posedness
Derived Hyers-Ulam stability results with quantitative estimates
Demonstrated applicability through three illustrative examples

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This research investigates stability and well-posedness in fractional differential systems, highlighting important mathematical findings.

Daoudi et al. (2026) studied this question.

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