Calculus for linearly correlated fuzzy function using Fréchet derivative and Riemann integral

DOI10.1016/j.ins.2019.09.078zbMath1471.46068OpenAlexW2977249882MaRDI QIDQ1999165

Francielle Santo Pedro, Estevão Laureano Esmi, Laécio Carvalho de Barros

Publication date: 18 March 2021

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2019.09.078

zbMATH Keywords

initial value problemFréchet derivativeRiemann integralfuzzy processesfuzzy differentials equations

Mathematics Subject Classification ID

Fuzzy real analysis (26E50) Fuzzy functional analysis (46S40)

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EXISTENCE CRITERIA FOR THE UNIQUE SOLUTION OF FIRST ORDER LINEAR FUZZY DIFFERENTIAL EQUATIONS ON THE SPACE OF LINEARLY CORRELATED FUZZY NUMBERS, Differential and integral calculus for fuzzy number-valued functions with interactivity, Complete controllability of fuzzy fractional evolutions equation under Fréchet derivative in linear correlated fuzzy spaces, Calculus for linearly correlated fuzzy number-valued functions, First-order linear fuzzy differential equations on the space of linearly correlated fuzzy numbers, Calculus of linear fuzzy-number-valued functions using the generalized derivative and the Riemann integral of fuzzy \(n\)-cell-number-valued functions, Comparison between the linearly correlated difference and the generalized Hukuhara difference of fuzzy numbers, Calculus for fuzzy functions with strongly linearly independent fuzzy coefficients, State feedback control for fractional differential equation system in the space of linearly correlated fuzzy numbers, Fractional calculus of linear correlated fuzzy-valued functions related to Fréchet differentiability, On the stopping time problem of interval-valued differential equations under generalized Hukuhara differentiability, A new derivative concept for set-valued and fuzzy-valued functions. Differential and integral calculus in quasilinear metric spaces, Banach spaces generated by strongly linearly independent fuzzy numbers

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