Solution of fractional differential equations utilizing symmetric contraction (Q2038548)

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scientific article; zbMATH DE number 7369036
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Solution of fractional differential equations utilizing symmetric contraction
scientific article; zbMATH DE number 7369036

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    Solution of fractional differential equations utilizing symmetric contraction (English)
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    7 July 2021
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    Summary: The aim of this paper is to present another family of fractional symmetric \(\alpha\)-\(\eta\)-contractions and build up some new results for such contraction in the context of \(\mathcal{F}\)-metric space. The author derives some results for Suzuki-type contractions and orbitally \(T\)-complete and orbitally continuous mappings in \(\mathcal{F}\)-metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in \(\mathcal{F}\)-metric space.
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