Solvability of Multiple Kinds of Fuzzy Fractional Hybrid Differential Equations Using Mnch’s Fixed Point Theorem

Subject Areas : Transactions on Fuzzy Sets and Systems

Aziz El Ghazouani ¹ , M’hamed Elomari ²

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Received: 2024-12-19 Accepted : 2025-03-06 Published : 2025-06-13

Keywords: Fractional hybrid differential equations, The measure of non-compactness, Mnch’s fixed-point theorem.,

Abstract :

The focus of this study is on hybrid differential and fractional hybrid differential equations (HFDEs). Such problems have important applications in a wide range of applied sciences. To address our models, we first study the existence theorem of fuzzy solutions under relatively weaker constraints, combining the measure of noncompactness and Mnch’s fixed-point theorem. The insights provided here extend and refine several previously established findings. Subsequently, two examples are provided to demonstrate the validity of the results obtained.

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