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Analysis of Existence for Fractional Random Differential Equations with Bounded Delay in Fréchet Spaces

Submitted:

30 April 2026

Posted:

01 May 2026

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Abstract
This research explores the existence of solutions for a class of random fractional differential equations characterized by bounded delay, specifically within the context of Fréchet spaces. By integrating the properties of noncompactness measures with a generalized Darbo fixed point approach, we establish existence results for the associated Darboux problem. To illustrate the practical utility of these analytical results, a representative example is provided.
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