Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems

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Results in Nonlinear Analysis
Volume:5 Issue:3
Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems

Solution of Fuzzy Volterra Integral and Fractional Differential Equations via Fixed Point Theorems

Authors : Sushma BASİL, Santhi ANTONY

Pages : 279-298

Doi:10.53006/rna.1089900

View : 12 | Download : 15

Publication Date : 2022-09-30

Article Type : Research Paper

Abstract :In this paper we present fuzzy coupled fixed point results in the turf of complete b-metric spaces via nonlinear F-contraction; in follow we derive some interesting results as byproducts. Eventually, we apply our results in solving fuzzy Volterra integral equations and Caputo-Hadamard type of fractional differential equations.
Keywords : Fuzzy mapping, Fuzzy coupled fixed point, b metric space, Fuzzy Volterra integral equations, Caputo Hadamard fractional derivative

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