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

Year 2022, Volume: 5 Issue: 3, 279 - 298, 30.09.2022

Sushma Basil , Santhi Antony

https://doi.org/10.53006/rna.1089900

Cited By: 1

https://izlik.org/JA57AR46KN

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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