Keyword

fuzzy initial value problems

Description: Initial value problems for differential equations use fuzzy sets to represent uncertain initial states or solution values.

Primary topic: Fuzzy Systems and Optimization (94%)

OpenAlex ID: keywords/fuzzy-initial-value-problems

On the fuzzy initial value problem

1987 · Seppo Seikkala · Fuzzy Sets and Systems · 888

Fuzzy differential equations

2000 · James J. Buckley, Thomas Feuring · Fuzzy Sets and Systems · 430

An Approach to Modelling and Simulation of Uncertain Dynamical Systems

1997 · Eyke Hüllermeier · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 350

Applications of fuzzy Laplace transforms

2012 · S. Salahshour, T. Allahviranloo · Soft Computing · 131

Fuzzy initial value problem for th-order linear differential equations

2001 · James J. Buckley, Thomas Feuring · Fuzzy Sets and Systems · 122

Fuzzy differential equations with interactive derivative

2016 · Laécio Carvalho de Barros, Francielle Santo Pedro · Fuzzy Sets and Systems · 116

Numerical methods forfuzzy differential inclusions

2004 · S. Abbasbandy, T.A. Viranloo, et al. · Computers & Mathematics with Applications · 102

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New Results on Multiple Solutions for Nth-Order Fuzzy Differential Equations under Generalized Differentiability

2009 · A. Khastan, F. Bahrami, et al. · Boundary Value Problems · 85

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A new fuzzy approximation method to Cauchy problems by fuzzy transform

2015 · A. Khastan, I. Perfilieva, et al. · Fuzzy Sets and Systems · 84

A full fuzzy method for solving differential equation based on Taylor expansion

2015 · T. Allahviranloo, Z. Gouyandeh, et al. · Journal of Intelligent & Fuzzy Systems · 72

Global solutions for nonlinear fuzzy fractional integral and integrodifferential equations

2013 · Robab Alikhani, Fariba Bahrami · Communications in Nonlinear Science and Numerical Simulation · 72

Existence theorems for solutions to random fuzzy differential equations

2010 · Marek T. Malinowski · Nonlinear Analysis · 68

Improved predictor–corrector method for solving fuzzy initial value problems

2008 · T. Allahviranloo, S. Abbasbandy, et al. · Information Sciences · 67

Numerical Methods for Fuzzy Initial Value Problems

1999 · EYKE HÜLLERMEIER · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 66

Existence and uniqueness theorem for a solution of fuzzy Volterra integral equations

1999 · Jong Yeoul Park, Hyo Keun Han · Fuzzy Sets and Systems · 65

Existence of global solutions to nonlinear fuzzy Volterra integro-differential equations

2011 · Robab Alikhani, Fariba Bahrami, et al. · Nonlinear Analysis · 58

Concreted solutions to fuzzy linear fractional differential equations

2016 · M. Chehlabi, T. Allahviranloo · Applied Soft Computing · 55

Stability of Fuzzy Dynamic Systems

2009 · MARINA TUYAKO MIZUKOSHI, LAÉCIO CARVALHO BARROS, et al. · International Journal of Uncertainty Fuzziness and Knowledge-Based Systems · 49

Analytical Solutions of Fuzzy Initial Value Problems by HAM

2013 · Omar Abu-Arqub, Ahmad El-Ajou, et al. · Applied Mathematics & Information Sciences · 47

Numerically solution of fuzzy differential equations by Adomian method

2003 · E. Babolian, H. Sadeghi, et al. · Applied Mathematics and Computation · 47

Population growth model via interactive fuzzy differential equation

2018 · Francielle Santo Pedro, Laécio Carvalho de Barros, et al. · Information Sciences · 45

Existence of solutions to fuzzy differential equations with generalized Hukuhara derivative via contractive-like mapping principles

2014 · Elder J. Villamizar-Roa, Vladimir Angulo-Castillo, et al. · Fuzzy Sets and Systems · 45

An algorithm for the solution of second order fuzzy initial value problems

2012 · Ö. Akın, T. Khaniyev, et al. · Expert Systems with Applications · 45

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

2019 · Francielle Santo Pedro, Estevão Esmi, et al. · Information Sciences · 44

Numerical solutions of fuzzy differential equations by extended Runge–Kutta-like formulae of order 4

2011 · B. Ghazanfari, A. Shakerami · Fuzzy Sets and Systems · 42

Works count: 377

Citation count: 4,538