Applications of Some Fixed Point Theorems for Fractional Differential Equations With Mittag-Leffler Kernel
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Abstract
Using some fixed point theorems for contractive mappings, including alpha-gamma-Geraghty type contraction, alpha-type F-contraction, and some other contractions in F-metric space, this research intends to investigate the existence of solutions for some Atangana-Baleanu fractional differential equations in the Caputo sense.
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Afshari, Hojat/0000-0003-1149-4336
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Keywords
Atangana-Baleanu Derivative In The Caputo Sense, F-Metric Space, Alpha-Type F-Contractive Mapping, Atangana-Baleanu Fractional Operator In The Caputo Sense, α-Type F-Contractive Mapping, Atangana–Baleanu Derivative in the Caputo Sense, Atangana–Baleanu Fractional Operator in the Caputo Sense, Mathematical analysis, Fixed Point Theorems in Metric Spaces, Differential equation, F $\mathcal{F}$ -metric space, Atangana–Baleanu fractional operator in the Caputo sense, QA1-939, FOS: Mathematics, Fixed-point theorem, Internal medicine, Biology, α-type F-contractive mapping, Ecology, Fixed Point Theorems, Pure mathematics, Atangana–Baleanu derivative in the Caputo sense, Partial differential equation, Contraction principle, Fixed point, Discrete mathematics, Generalized Contractions, Applied mathematics, Contractive Mappings, FOS: Biological sciences, Physical Sciences, Kernel (algebra), Contraction (grammar), Medicine, Geometry and Topology, Metric space, Type (biology), Mathematics, Ordinary differential equation, Fractional ordinary differential equations, \(\mathcal{F}\)-metric space, Special maps on metric spaces, Fixed-point and coincidence theorems (topological aspects), fractional operator, Atangana-Baleanu derivative in the Caputo sense, \(\alpha\)-type \(F\)-contractive mapping
Fields of Science
01 natural sciences, 0103 physical sciences, 0101 mathematics
Citation
Afshari, H.; Baleanu, D.,"Applications of Some Fixed Point Theorems for Fractional Differential Equations With Mittag-Leffler Kernel",Advances in Difference Equations, Vol. 2020. No. 1, (2020).
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22
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2020
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1
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Scopus : 29
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