Solvability of Multiple Kinds of Fuzzy Fractional Hybrid Differential Equations Using Mnch’s Fixed Point Theorem
الموضوعات : Transactions on Fuzzy Sets and Systems
Aziz El Ghazouani
1
,
M’hamed Elomari
2
1 - Department of mathematics, Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
2 - Department of mathematics, Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, Beni Mellal, Morocco.
الکلمات المفتاحية: Fractional hybrid differential equations, The measure of non-compactness, Mnch’s fixed-point theorem.,
ملخص المقالة :
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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