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Stability and Existence of Solutions for a Tripled Problem of Fractional Hybrid Delay Differential Equations

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The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which… Click to show full abstract

The purpose of this paper is to determine the existence of tripled fixed point results for the tripled symmetry system of fractional hybrid delay differential equations. We obtain results which support the existence of at least one solution to our system by applying hybrid fixed point theory. Similar types of stability analysis are presented, including Ulam–Hyers, generalized Ulam–Hyers, Ulam–Hyers–Rassias, and generalized Ulam–Hyers–Rassias. The necessary stipulations for obtaining the solution to our proposed problem are established. Finally, we provide a non-trivial illustrative example to support and enhance our analysis.

Keywords: existence; hybrid delay; ulam hyers; delay differential; differential equations; fractional hybrid

Journal Title: Symmetry
Year Published: 2022

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